Volume of Cylinders, Cones, and Spheres

I NEED HELP ASAP!!

Volume Of Cylinders, Cones, And SpheresI NEED HELP ASAP!!

Answers

Answer 1

Answer:

8) 144pi

9) 196pi

11) 18pi

12) 298.67pi

Step-by-step explanation:

Cylinders

The volume of a cylinder is [tex]V = \pi r^{2} h[/tex], where r represents the radius of the base and h represents the height.

For the first cylinder, the radius of the base is 4 and the height is 9.

[tex]V = \pi (4)^{2} (9)\\V = \pi(16)(9)\\V = 144\pi[/tex]

For the second cylinder, the diameter is 6 and the height is 2. Since the radius is half the diameter, the radius is 3.

[tex]V = \pi (3)^{2} (2)\\V = \pi(9)(2)\\V = 18\pi[/tex]

Sphere

The volume of a sphere is [tex]V = 4\pi r^{2}[/tex], where r is the radius of the sphere.

The diameter is 14, meaning the radius must be 7.

[tex]V = 4\pi (7)^{2} \\V = 4\pi (49)\\V = 196\pi[/tex]

Cone

The volume of a cone is [tex]V = \pi r^{2} (h/3)[/tex], where r is the radius and h is the height.

The radius is 8, and the height is 14.

[tex]V = \pi (8)^{2} (14/3)\\V = \pi (64) (14/3)\\V = \frac{896}{3} \pi\\V = 298.67\pi[/tex]


Related Questions

What number must be divided by 15 3/4 so that the quotient is 60?

Answers

The answer is 945

If we take 15.75*60=945

Let’s check our answer

945/15.75=60

Hope it helps

In the figure,Line x is parallel to line y. identify the angles congruent to angle 3

Answers

Answer:

For example, slide ∠ 1 down the transversal and it will coincide with ∠2. are equal in measure. If two parallel lines are cut by a transversal, the corresponding angles are congruent. If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.

Step-by-step explanation:

Destiny makes earrings and bracelets to sell. She makes a profit of $15 for
every pair of earrings she sells and a $12 profit for every bracelet she sells
The cost of making one pair of earrings is $4 and the cost of making one
bracelet is $6. She only has $36 she can spend this week to make her
merchandise. She knows she wants to make at least 8 pieces of
merchandise to sell this week. What is the maximum profit she can make
based on these constraints? (If you do not have access to graph paper to
complete this problem, you can use Desmos to graph the constraints.
Remember the steps, 1. Define Variables, 2. List Constraints, 3. Graph and
shade feasible region, 4. Plug in vertices to objective function to find
maximum profit) *

Answers

Answer:

$135

Step-by-step explanation:

She would make 9 pairs of earrings, they have the least cost and the highest profit. No other combination would yield a higher profit.

Find the area of the shape shown below.

Answers

That shape is a Pentagon

Answer:

To find the area break up the shapes:

The rectangle is A = bh which is 7*3 which is 21.

Triangle: A = 1/2(bh)

A=1/2(3*7)

A=1/2(21)

A=10.5

Now add up the areas:

21+10.5

=

31.5

The answer is 31.5 units.

Select the expression that is equivalent to 48 ÷ 12
A. 6 (8 + 6)
B. 12 (4+1)
C. 4 (44 +3)
D. 8 (6+4)

Answers

Given:

Consider the expression is:

[tex]48+12[/tex]

To find:

The expression that is equivalent to the given expression.

Solution:

We have,

[tex]48\div 12[/tex]

It can be written as:

[tex]48\div 12=12\times 4+12\times 1[/tex]

Taking out the GCF, we get

[tex]48\div 12=12(4+1)[/tex]

Therefore, the correct option is B.

Answer:

b. 12 (4+1)

Step-by-step explanation:

hope this helps you {ribbit}

~tsu-chan :p

Question 5 (1 point)
Find the volume of the sphere. Round your answer to the nearest tenth.
Help me please

Answers

Answer: The closest one would be 3052.1

Step-by-step explanation:

A snowcone with a radius of 4 cm is sold in a cone-shaped paper cup with a height of 12 cm and an opening 6 cm wide. If all the ice melted in the cup, would it overow?

Answers

Answer: No because when you do the volume of the cone is r=3cm h=12cm and the sphere is r=4cm

If the ice melt in the cone shaped cup, it won't overow because the volume of the cone shaped cup is greater than the volume of the snowcone ice.

The snowcone is a sphere.

Volume of a sphere

volume = 4 / 3πr³

where

r = radius

Therefore,

volume of the snowcone = 4 / 3 × π × 4³

volume of the snowcone = 256 π/ 3 = 85.33π

Therefore, the volume of the cone canbe found as follows:

volume of the cone shaped paper = 1 / 3 πr²h

h = 12 cm

r = 6cm

volume of the cone shaped paper = 1 / 3 × π × 6² × 12

volume of the cone shaped paper = 144π

Therefore, let find if the ice melt in the cone whether it will overow.

144π - 85.33π = 58.67π

Therefore, the volume of the cone shaped paper is greater than the volume of the snowcone ice . This means that if the ice melt in the cup , it won't overow.

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30% of the scholars are working as stagehands. 35 scholars are actors and actresses. How many students in total are in the school play, acting and working behind the scene?

Answers

Answer:

There are 50 students in total in the school play, acting and working behind the scene.

Step-by-step explanation:

Since the statement indicates that 30% of the scholars are working as stagehands, you can subtract this from 100% that represents the total amount of student in the school play to find the percentage that are actors and actresses:

100%-30%=70%

Now, as you know that 70% of the students are actors and actresses and the statement indicates that they are 35, you can use a rule of three to find the amount of students that represent 100%:

70%    →    35

100%   →     x

x=(100*35)/70

x=50

According to this, the answer is that there are 50 students in total in the school play, acting and working behind the scene.

find the gradient of the line segement between the points (0,-6) and (2,-16)

Answers

answer = 5

Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m. The larger the value is, the steeper the line. Given m, it is possible to determine the direction of the line that m describes based on its sign and value:

A line is increasing, and goes upwards from left to right when m > 0

A line is decreasing, and goes downwards from left to right when m < 0

A line has a constant slope, and is horizontal when m = 0

A vertical line has an undefined slope, since it would result in a fraction with 0 as the denominator. Refer to the equation provided below.

Slope is essentially change in height over change in horizontal distance, and is often referred to as "rise over run." It has applications in gradients in geography as well as civil engineering, such as the building of roads. In the case of a road the "rise" is the change in altitude, while the "run" is the difference in distance between two fixed points, as long as the distance for the measurement is not large enough that the earth's curvature should be considered as a factor. The slope is represented mathematically as:

m =

y2 - y1

x2 - x1

Check out the image

Answers

Answer:

oop, okay

Step-by-step explanation:

Answer:

twitter should work

go on it but also other websites so when you go to delete your history (ctrl h on chrome) it'll match up

example: go on twitter at 2:25 but also some other websites and switch back until 2:26 go back on and then other websites

Step-by-step explanation:

If 4c + 10= 20 -16c, what is 8c?

Answers

If that = that . That mean 8c is 3c

how do you solve this?

Answers

Answer:

x=110(by vertical opposite angle)

which expression is equivalent to 189 1/5 -(-22 2/5)-(-40 1/5),

Answers

Answer:

[tex]251 \frac{4}{5}[/tex] or [tex]\frac{1259}{5}[/tex]

 What is the volume of this cone?

Answers

Answer: C

Step-by-step explanation:

a ranger is at the top of a 200 foot tall lookout tower. she spots a fire at an angle of depression of 3° from the top of her tower. To the nearest tenth of a foot, how far away is the fire?​

Answers

Step-by-step explanation:

tan3 = 200/x

x = 200/tan3

The question is incomplete. The right question is:

A ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°. To the nearest tenth of a foot, how far away is the fire from the base of the tower?​

The distance between the fire and the base of the tower is 3816.2 feet.

What is the concept of height and distances?

Heights and Distances is a trigonometric application-based concept, where we try to form a right-angled triangle of the given conditions, take the angles of elevation and depression and try to find the unknowns.

How do we solve the given question?

We are given that a ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°.

We are asked to find the distance between the fire and the base of the tower.

We let the 200-foot observation tower be AB. Let the point of fire be C. Join BC and AC to complete the right-angled triangle ABC, with ∠B = 90°. The ranger from the top of the tower has a 3° angle of depression to the fire. We draw the horizontal line of sight AD. Now the angle of depression can be shown by the ∠DAC = 3°.

We let the distance between the fire and the foot of the tower be x foot.

∠BCA = ∠DAC = 3° (alternate angles).

Also, ∠BAC = 180° - 90° - 3° = 87° (using angle sum property of triangles)

In ΔABC,

tan ∠BAC = BC/AB (tan θ = perpendicular/base)

or, tan 87° = x/200

or, x = 200*tan87° = 200*19.0811 = 3816.22 = 3816.2 (rounding to nearest tenth).

∴ The distance between the fire and the base of the tower is 3816.2 feet.

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The cost of a holiday is £2400

Rana pays a deposit followed by monthly payments, in the ratio

deposit : total of the monthly payments = 3:5


She makes 6 equal monthly payments. Work out her monthly payment

Answers

She makes 6 equal monthly payments. Then the monthly payment will be £666.67.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The cost of a holiday is £2400. Rana pays a deposit followed by monthly payments, in the ratio deposit: a total of the monthly payments = 3:5.

Then the total of the monthly payment will be given as,

£2400 / Total of the monthly payments = 3:5

Total of the monthly payments = (5/3) x £2400

Total of the monthly payments = £4,000

She makes 6 equal monthly payments. Then the monthly payment will be given as,

Monthly payment = £4,000 / 6

Monthly payment = £666.67

She makes 6 equal monthly payments. Then the monthly payment will be £666.67.

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HELPPPPPPPPPPP
1. Shown are the final scores for Norm Duke in the past eight bowling tournaments.
299, 281, 285, 269, 280, 269, 286, 287

Part A: What is the mean absolute deviation of Norm Duke’s scores?

A.
7.50

B.
7.00

C.
7.25

D.
6.75

Part B: Based on the mean absolute deviation from Part A, who has been the more consistent bowler if Ryan Shafer has a mean absolute deviation of 7?

A.
Norm Duke has been more consistent because his mean absolute deviation is greater than Ryan Shafer’s.

B.
Ryan Shafer has been more consistent because his mean absolute deviation is less than Norm Duke’s.

C.
Ryan Shafer has been more consistent because his mean absolute deviation is greater than Norm Duke’s.

D.
Norm Duke has been more consistent because his mean absolute deviation is less than Ryan Shafer’s.

Answers

Answer:

Part A

C. 7.25

Part B

B. Ryan Shafer has been more consistent because his mean absolute deviation is less than Norm Duke’s.

Step-by-step explanation:

Given data:

299, 281, 285, 269, 280, 269, 286, 287Part A

Find the mean of the data above:

(299 + 281 + 285 + 269 + 280 + 269 + 286 + 287)/8 = 282

Find absolute deviations, an absolute value of the difference of data and the mean:

299 - 282 = 17 ⇒ 17 281 - 282 = -1 ⇒ 1285 - 282 = 3 ⇒ 3269 - 282 = -13 ⇒ 13280 - 282 = 2 ⇒ 2269 - 282 = -13 ⇒ 13286 - 282 = 4 ⇒ 4287 - 282 = 5  ⇒ 5

Find mean absolute deviation:

(17 + 1 + 3 + 13 + 2 + 13 + 4 + 5)/8 = 7.25

Correct choice is C

Part B

Less mean absolute deviation is the sign of more consistent data.

Since Ryan Shafer has smaller mean absolute deviation, he has been more consistent 7 < 7.25

Correct choice is B.

What’s the answer to the question -7x + 15 = 36

Answers

Answer:

x= -3

Step-by-step explanation:

-7x +15 - 15 = 36 - 15

-7x = 21

-7x ÷ -7 = 21 ÷ -7

x= -3

Answer:

Um.....

-3

Sorry if calculated wrong..

2 4/8 - 1 3/4 pls help i got 1 min

Answers

I think 3/4 or 0.75 will be the answer

Answer:

1 1/8

Step-by-step explanation:

what is the volume to the nearest tenth
A)34.4yds^2
B)34.38yds^3
C)34.4yds^3
D)34.38yds^2

Answers

Answer:

A

Step-by-step explanation:

Classify this triangle by its sides and angles.

Answers

Answer:

right and scalene

Step-by-step explanation:

all the sides are different in length, so it's a scalene triangle, plus, it has a right angle, which makes it a right angled triangle.

Students recorded the amount of liquid in fluid Ounces each of them drank In one day. The box plot shows the summary of the results. Amount of Liquid (fluid Ounces) Which statement best describes the data represented in the box plot?​

Answers

Answer: The correct answer would be F. Half the students drank from 78 to 114 fluid ounces.

Step-by-step explanation:

The statement best describes the data represented in the box plot half the students drank from 78 to 114 fluid ounces. The correct option is F.

What is a box plot?

A rectangle is created to represent the second and third quartiles, normally with a vertical line inside to indicate the median value, in a simple way of presenting statistical data on a plot.

Given that students recorded the amount of liquid in fluid Ounces each of them drank In one day. The box plot shows the summary of the results. Amount of Liquid (fluid Ounces).

The highest and the lowest limit of the box plot is range from 78 to 114. The statement best describes the data represented in the box plot half the students drank from 78 to 114 fluid ounces.

Therefore, the correct option for the box plot will be F.

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Suppose that y varies directly with x
and y=
= 10 when x = 20. What is y
when x = 15?
Be sure to simplify your answer.

Answers

Answer:

[tex]10 \times 2 = 20 \\ 5 \times 3 = 15[/tex]

answer:10×2=20

5×3=15

Answer:

y = 7.5

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 10 when x = 20

10 = 20k ( divide both sides by 20 )

[tex]\frac{1}{2}[/tex] = k

y = [tex]\frac{1}{2}[/tex] x ← equation of variation

When x = 15 , then

y = [tex]\frac{1}{2}[/tex] × 15 = [tex]\frac{15}{2}[/tex] = 7.5

Patriciodeposits $500 in the same account that pays a 1.5% simple interest he does not withdraw any money from the account any makes no other deposits how much money does Patricio happiness saving account after 5 years​

Answers

Answer: $537.5

Step-by-step explanation:

$500 at 1.5% for 5 years

p x  r x t = i

500 x 0.015 x 5= 37.5

37.5+500=537.5

Determine the value of the expression: 5^4 × 5^8/5^6 Write your answer in exponential notation (in exponent form).

Answers

Answer:

5⁶

Step-by-step explanation:

We have

[tex]5^4*\frac{5^8}{5^6}\\\frac{x^n}{x^y}=x^{n-y}\\\frac{5^8}{5^6}=5^{8-6}=5^2\\x^n*x^y=x^{n+y}\\5^4*5^2=5^6[/tex]

Which expression is equivalent to -7(y-2)?
A. -7y - 2
B. -7y + 2
C. -7y - 14
D. -7y + 14

Answers

Answer:

D) -7y + 14

Step-by-step explanation:

-7 x y = -7y

-7 × -2=14 ( negative times negative equals positive)

D is the answer when u simplify the answer

guys, please help me!!!!!! I'll give you brainly and a ton of points!

Answers

Answer:

31

Step-by-step explanation:

62 / 2 = 31

Answer:

31

Step-by-step explanation:

angle is half of arc

Help ASAP please! Thank you so much
What is the slope of the graphed line?

Answers

Answer:

the numbers aren't clear can you enlarge the screenshot?

Step-by-step explanation:

Answer:

Slope = [tex]- \frac{3}{4}[/tex]

Step-by-step explanation:

1. Choose 2 points from the graph

(0,-1) and (4,-4)

2.) Use this formula: [tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex]

3.) (-4) - (-1) = -3

(4) - (0) = 4

-3/4

write the equation, please.

Answers

Answer:

x^2+y^2 = 49

Step-by-step explanation:

This is a circle.

The generic equation of a circle is

(x-h)^2+ (y-k)^2 = r^2

where (h,k) is the center and r is the radius

The center of the circle is at the origin which is (0,0)

The radius is 7

(x-0)^2+(y-0)^2 = 7^2

x^2+y^2 = 49

Answer:

[tex] \displaystyle {x}^{2} + {y}^{2} = 49[/tex]

Step-by-step explanation:

we are given a circle

we want to figure out the equation of the circle

remember that,

[tex] \rm \displaystyle E _{c} : (x - {h)}^{2} + (y - k {)}^{2} = {r}^{2} [/tex]

(h,k) are the centre of the circle

we can clearly see that the centre of the circle is (0,0) and the redious is 7 units

thus substitute:

[tex] \displaystyle (x - {0)}^{2} + (y - 0{)}^{2} = {7}^{2} [/tex]

further simplification is needed:

[tex] \displaystyle {x}^{2} + {y}^{2} = 49[/tex]

and we are done!

A line of best fit for a data set has equation y = 3x - 4. What y-value would you predict for an x-value of 8 in this data set?

A 4

B. 8

C. 16

D. 20

Answers

Answer:

D. 20

Step-by-step explanation:

The line of best fit for the equation is:

[tex]y = 3x - 4[/tex]

When x = 8

We have to find y. So

[tex]y = 3*8 - 4 = 24 - 4 = 20[/tex]

So the correct answer is given by option D.

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