The cone and cylinder above have the same radius and height. The volume of the cylinder is 48 cm3. What is the volume of the cone?
A.
24 cm3
B.
16 cm3
C.
96 cm3
D.
144 cm3

Answers

Answer 1

Answer:

Option B (16 cm³)

Step-by-step explanation:

GIVEN :-

Both cone and cylinder have same radius and height.Volume of cylinder = 48 cm³

TO FIND :-

Volume of cone

FACTS TO KNOW BEFORE SOLVING :-

Volume of a cylinder having radius 'r' and height 'h' is [tex]\pi r^2h[/tex]Volume of a cone having radius 'r' and height 'h' is  [tex]\frac{1}{3} \pi r^2 h[/tex]

Hence ,

Volume of cylinder = Thrice the volume of cone

[OR]

Volume of cone = One third of volume of cylinder

PROCEDURE :-

Volume of cone = [tex]\frac{1}{3} (Volume \: of \: cylinder) = \frac{48}{3} = 16 cm^3[/tex]


Related Questions

What should be true in order for a scatter plot to show that a linear fit may be appropriate for a data set?
O The points should form an upward curve.
O The points should be scattered randomly.
O The points should appear to lie generally along a line.
O The points should form one line above the x-axis and another below it.

Answers

on a scatter plot, the points are randomly placed around the graph

On a scatter plot, the points are randomly placed around the graph. The correct option is B.

What is a scatter plot?

A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data. If the points are coded, one additional variable can be displayed.

A scatter (XY) plot is a vertical data visualization method for displaying the relationship between two sets of data. It is a graphical display of data that consists of a collection of points plotted in a two- or three-dimensional plane.

The locations of the points in a scatter plot are chosen at random. The best choice is B.

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Which angles are complementary to 1? Select all that apply.

Answers

Answer:

angle 6 and angle 3

Step-by-step explanation:

angle 1 and angle 6 add up to 90 degrees

angle 6 is vertical to angle 3, so 1 is complementary to 3 as well

The circumference of a tree trunk is 50 ft

Answers

Answer:

So the length will be the same as the length of the torso

PLS HELPPP !! BRAINLIEST!!

Each cube in this figure is a 1/2 -centimeter cube. What is the total volume of the prism?

A. 4 1/2cm3
B. 1 1/2cm3
C. 6cm3
D. 18cm3

Answers

18cm you multiple it my the figure given

Aleksandra started studying how the number of branches on her tree grows over time. Every 1.51.51, point, 5 years, the number of branches increases by an addition of \dfrac{2}{7} 7 2 ​ start fraction, 2, divided by, 7, end fraction of the total number of branches. The number of branches can be modeled by a function, NNN, which depends on the amount of time, ttt (in years). When Aleksandra began the study, her tree had 525252 branches. Write a function that models the number of branches ttt years since Aleksandra began studying her tree. N(t) =N(t)=N, left parenthesis, t, right parenthesis, equals

Answers

Answer:

52(9/7)^t/1.5

Step-by-step explanation:

The function N(t) a which models the number of branches t years after Aleksandra began studying her trees ;

Initial number of branches = 52

Increment every 1.5 years = 2/7

N(t) = Initial * (1 + r)^t

t expressed per year = t/1.5

Hence,

N(t) = 52(1 + 2/7)^t/1.5

N(t) = 52(9/7)^t/1.5

Please help fast
The graph below shows a company's profit f(x), in dollars, depending on the price of goods x, in dollars, being sold by the
company:

Part A: What do the x-intercepts and maximum value of the graph represent?
prefent? ?
Part B: What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and
profit?
Part C: What is an approximate average rate of change of the graph from x = 1 to x = 3, and what does this rate represent?

Answers

Maximum value is maximum profit
The x intercepts are the prices that profit equals zero

B
Increasing from - infinity to 3 and decreasing from 3 to infinity. When price is less than 3 every increase in price results in an increase in profit. When price is greater than 3, every increase in price results in a decrease in profit. So what this is saying about sales is that when you set the price beyond 3 bucks, the amount of people willing the buy at that price drops such that you start making LESS profit because less people are willing to buy, and the lack of buyers offsets the additional price that the others are paying.

C
The average rate of change is 60 and this represents the increase in profit per increase in price

Find the value of x.

Answers

Answer:

6

Step-by-step explanation:

The two small triangles are congruent by SAS.

By CPCTC, x = 6.

Answer: 6

All repeating decimals are irrational True or false

Answers

Answer:

True

Step-by-step explanation:

Answer: the answer is true sorry if its wrong

Step-by-step explanation:

have a nice day buddy

The size of the coyote population at a national park increases at the rate of 4.3% per year. If the size
of the current population is 183, find how many coyotes there should be in 6 years. Use
y = yoe^0.043t and round to the nearest whole number.
A) 235
B) 241
C) 239
D) 237

Answers

Answer:

B

Step-by-step explanation:

The estimated number of coyotes after six years, rounded to the closest whole number, is 237.

Therefore, option D) 237 is the appropriate response.

Given that in a national park the population of coyote is increasing by 4.3% per year.

The current population is 183.

We need to find the size of the population after 6 years.

To calculate the number of coyotes in 6 years using the given growth rate, we can use the formula:

[tex]y = y_oe^{0.043t[/tex]

Where:

y = final population after t years

y₀ = initial population

r = growth rate

t = time in years

In this case, the initial population (y₀) is 183, the growth rate (r) is 4.3% or 0.043, and we want to find the final population (y) after 6 years (t = 6).

Plugging in the values:

[tex]y = 183 \times e^{(0.043 \times 6)[/tex]

Calculating this expression:

[tex]y \approx 183 \times e^{(0.258)[/tex]

Using a calculator:

[tex]y \approx 183 \times 1.294[/tex]

[tex]y \approx 236.502[/tex]

Rounding to the nearest whole number, the estimated number of coyotes after 6 years is 237.

Therefore, the correct answer is option D) 237.

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Find the output, y, when the input, c, is 6. HELP ASAP

Answers

try 8 homie because 8 is on the y axis when 6 is on the x

Which expressions are equivalent to - 6z +(-4.5) + 2.5z + 5y -3.5?
Select all that apply.
A. - 8 + 5y +3.52
B. - 3.5z + 5y - 8
C. - 8 + 5y +(-3.5z)
OD. 5y - 8 -3.52
E. 5y + (-3.52) - 4.5

Pls help

Answers

Step-by-step explanation:

babababababababbababavavabababababa

Solve for the x.
Assume the segments that appear to be tangent are tangent.

Answers

4.5 i think im really not sure check with someone else before answering

A = 6x – 2
B = 4x + 48

Answers

Answer:

X=25

angle A=148

Step-by-step explanation:

since they are alternating angles

A=B

6x-2=4X+48

solve for X

6x-4x=48+2

2x=50

X=25

angle A= 148

Answer:

148

Step-by-step explanation:

I got it right on khan

Mr. Bucci goes to the grocery store and purchases
17 bags of raisins and a $2.97 jar of peanut butter.
His total cost was $34.76. What was the cost for a
bag of raisins?
Help

Answers

Make an equation
17b + 2.97 = 34.76
17b = 31.79
b = $1.87
A bag of raisins is $1.87

Please someone answer this!
Andrew has $90 in a savings account. The interest rate is 10% per year and is not compounded. How much interest will he earn in 2 years?

Answers

Answer: 108$

Step-by-step explanation:

tell whether the slope is positive or negative. then find the slope.​

Answers

Answer:

slope is negative

m=-1

Step-by-step explanation:

the slope of a line is positive if it passes through Quadrants III and I. The slope is negative if it passes through II and IV.

yes, this line passes through Quadrant I alongside II and IV, but it doesn't pass through Quadrant III (it has to pass through Quadrant III to be positive)

that means that the slope of this line must be negative

We can calculate the slope (m) with this formula:

(y2-y1)/(x2-x1)

we can pick two points- for example, (1,3) and (2,2)

label the points:

x1=1

y1=3

x2=2

y2=2

now substitute into the equation

m=(2-3)/(2-1)

m=-1/1

m=-1

the slope is -1

Hope this helps! :)

20 Points!!!! PLEASE help!! Math!! Due soon!!

Answers

Answer:

the first one is true, the third one is true, the fourth one is true, the fifth one is true

Step-by-step explanation:

the second one is false

1) How many fourths are in one whole?
2) How many eighths are in one whole?
3) How many thirds are in one whole?
PLEASE HELP ASAP

Answers

Answer:

4 fourths are in one whole

8 eighths are in one whole

and 3 thirds are in one whole

Step-by-step explanation:

Change the fraction 3/4 to a percent

Answers

Answer:

0.75

Step-by-step explanation:

what you do is divde 3 by 4 which equals to 0.75

Answer:

75%

Step-by-step explanation:

If your rounding 2 decimals. Hope this helps!

The points (4, 1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x?

Answers

Answer:

x = -3

Step-by-step explanation:

using the slope formula y2 - y1/x2 - x1 = 1 so

-6 - 1 / x - 4 = 1, so -7/-7 = 1 so x has to be -3 to make the bottom = -7

*ill mark brainliest*

A mathematician is analyzing an email message. Out of the first 100 characters, the letter e appears 13 times. The email message is 1,100 characters in length. Based on the information, how many of the characters should be a letter e?

Answers

It would be 143 because if you were to multiply 100*11 = 1100 so doing the same for 13*11 would equal 143

Please help me figure this out

Answers

7.54(1000)=7540
The answer is 7540

what is the domain of the function?

Answers

Answer is -1 (A) because the domain is X and on the graph it is on the X -1

Answer:

Pretty sure its C, but in 10th grade math they would say the domain is (-∞,∞)

Step-by-step explanation:

pls mark brainliest if correct :)

write the function that represents the sequence in the table

Answers

A(n) = 6n

Every time the x value increases by 1, the y value increases by 6.

Please help! In the diagram below, lines l and k are parallel.




What is the measure, in degrees, of ∠ABC ?

Answers

Answer:

50

Step-by-step explanation:

x+95 = 4x-10 ( alternate angles)

or, 4x -x = 95+10

or, 3x = 105

x= 35

x+95 = 35+95 = 130

130 + ABC = 180 ( linear pair)

or, ABC = 180-130= 50

50 points and Ill give brainiest - please help ASAP with WORK FOR IT please and thank you!! :)

2 pages with work

Answers

Answer:

1) (x + 12)²+(y+6)²= 28

comparing above equation with(x-h)²+(y-k)²=r²

we get

r=√28

h=-12

k=-6

;.centre=(-12,-6)

radius =√28 units

2) x²+(y+7)²=15

comparing above equation with(x-h)²+(y-k)²=r²

we get

r=√15

h=0

k=-7

;.centre=(0,-7)

radius=√15 units

3) (x + 4)²+(y - 1)² = 4

comparing above equation with(x-h)²+(y-k)²=r²

we get

r=√4=2units

h=-4

k=1

;.centre=(-4,1)

radius=√2units

4) (x+3)²+(y-1)²= 8

comparing above equation with(x-h)²+(y-k)²=r²

we get

r=√8=2√2units

h=-3

k=1

;.centre=(-3,1)

radius=2√2units

what two number multiply to make -36 as well as add to make 16

Answers

-12 x 3 = -36

-6 x 6 = 36

-8 x 2 = -16

-4 x 4 = -16

PLEASE HELP ASAPPPPPP!!!!!!!!!!!!

Answers

Answer:

324

Step-by-step explanation:

divide 752 by 2 to get 376

then subtract 52 from 376 to get 324

How can you use transformations to solve problems?
Choose all that are correct
А
You can use translations to describe a change in the shape of a figure.
B
You can use reflections to describe a change in the size of a figure.
C.
You can use rotations to describe a change in the position of a figure.

Answers

Answer:

C, you can use rotations to describe a change in the position of a figure.

7x(15+5) plz help me solve this question by formula BODMAS

Answers

The brackets are first, then the multiplication

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