The correct statements about the volume of the cone are:
- The volume of the cone is One-third the volume of the cylinder.
- The expression 84 pi over 3 finds the volume of the cone.
- The volume of the cone is less than the volume of the cylinder.
What is the volume of cylinder?[tex]V=\pi\times r^2\times h[/tex]
where 'r' is the radius of the base of the cylinder and 'h' is height of the cylinder
What is the volume of the cone?[tex]V=\pi\times r^2\times \frac{h}{3}[/tex]where 'r' is the radius of the base of the cone and 'h' is height of the cone
For given example,
The volume of the cylinder is 84 pi inches cubed.
Let [tex]V_1[/tex] represents the volume of the cylinder.
[tex]V_1=84~~cu.in.[/tex]
Using the formula of the volume of the cylinder,
[tex]V_1=\pi\times r^2\times h[/tex]
where 'r' is the radius of the base of the cylinder and 'h' is height of the cylinder
Let [tex]V_2[/tex] be the volume of the cone.
Assume that the base radius 'r' and height 'h' of the cone and the cylinder are equal.
Using the formula of the volume of the cone,
[tex]\Rightarrow V_2=\pi\times r^2\times \frac{h}{3}\\\\\Rightarrow V_2=\frac{1}{3}\times( \pi\times r^2\times h) \\\\\Rightarrow V_2=\frac{1}{3}\times V_1[/tex]
This means, the volume of the cone is One-third the volume of the cylinder.
[tex]\Rightarrow V2=\frac{1}{3}\times 84[/tex]
This means, the expression 84 pi over 3 finds the volume of the cone.
[tex]\Rightarrow V_2=28~~cu.in.\pi \\\\\Rightarrow V_2 < V_1[/tex]
This means, the volume of the cone is less than the volume of the cylinder.
Therefore, the correct statements about the volume of the cone are:
- The volume of the cone is One-third the volume of the cylinder.
- The expression 84 pi over 3 finds the volume of the cone.
- The volume of the cone is less than the volume of the cylinder.
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Simplify
-3(y+4)+4y
Please ANSWER FAST!!!!!
Answer: y-12
Step-by-step explanation:
-3(y+4)+4y
first distribute teh -3 to the y and the 4, so you get -3y and -12. Then combine like terms. -3y-12+4y, add the -3y and 4y, you get y. So the answer is y-12.
Answer:
y = 12
Step-by-step explanation:
here's your solution
=> -3(y + 4) + 4y = 0
=> -3y -12 +4y = 0
=> y -12 = 0
=> y = 12
hope it helps
Can someone solve this please
Answer:
m = 8
k = 7
Step-by-step explanation:
Remark
Unless this really is a parallelogram, it is not (easily) solvable. I think you likely intend it to be a parallelogram, so it has an easy solution. The diagonals bisect each other.
So m = 8 because the intersect point of the diagonal and the second one makes the two parts equal.
k + 4 = 11 Subtract 4 from both sides.
-4 -4
k = 7
HELPPP MEEE ASAP PLEASE HELP
Answer:
look up how to find the area if a kite thats what i do
Step-by-step explanation:
how do i find the x and y intercepts of x+y-5=0
Answer:
To find x intercept. Substitute y=0 in the given equation, and solve for x . x−0=5. x=5. Therefore, x intercept =(5,0)
To find y intercept. Substitute x=0 in the given equation, and solve for y . 0−y=5. y=−5. Therefore, y intercept =(0,−5)
Step-by-step explanation:
Answer:
y intercept = -5
x intercept cordinate= (5,0)
Step-by-step explanation:
Match the word to its description.
The most frequent value = mode
The middle value = median
The average = mean
The difference between the lowest and highest value = range
Answer:
Mode is the most frequent value
Mean is the average
Median Is the middle value
Range is the difference between etc...
please please please helpppp
Write the quadratic equation whose roots are −6 and 3, and whose leading coefficient is 4.
(Use the letter x to represent the variable.)
Answer:
y= 4(x+6)(x-3)
Step-by-step explanation:
same as before :)
Michaela and Dema each multiplied 1/3 x 4/3. Michaela got 4/9 and Dema got 5/6. Which student found the correct answer? EXPLAIN
Answer: Michaela's answer
Step-by-step explanation:
Dema added the numbers together
Plz help !! 7th grade math !
Can someone pls help me with this?
Answer:
1 - positive
2 - negative
3 - negative
4 - none
5. - positive
Step-by-step explanation:
Solve for the missing side
Answer:
The answer would be
Sin 60°=x/14
X=7v3
Each side of a square piece of plastic is 2 centimeters long. What is the piece of plastic's area?
Answer:
4cm because area is length times width
Step-by-step explanation:
Answer:
4 cm2
Step-by-step explanation:
[tex]area = side {}^{2} = (2cm) {}^{2} = 4cm {}^{2} [/tex]
3. An ELA test is worth 100 points. There are a total of 26 questions. They are spelling word questions that are worth 2 points each and vocabulary word questions worth 5 points each. How many of each type of question are there? *
Answer:
There are 10 two point questions and 16 five point questions.
Step-by-step explanation:
x = the number of 2 points questionsy = the number of 5 points questionsx + y = 262x + 5y = 100x = 10 two points questionsy = 16 five points questionsKala deposits $7000 into an account that pays simple Interest at a rate of 4% per year How much interest will she be paid in the first 4 years?
Work out the size of angle x.
38°
х
101°
The size of the angle 'x' is 117°
The external angle of a triangle:An external angle of a triangle is an angle formed by extending one side of the triangle and intersecting with the extension of another side.
In a triangle, the measure of an external angle is equal to the sum of the measures of the two opposite interior angles.
Here we have a triangle
Let the ABC be the triangle as given in the picture
=> ∠A = 38°
From the baseline BC
=> Measure of B = 180° - 101° = 79°
As we know
In a triangle, the measure of an external angle is equal to the sum of the two opposite interior angles
=> x = ∠A + ∠C
=> x = 38° + 79°
=> x = 117°
Therefore,
The size of the angle 'x' is 117°
Therefore,
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Madison had seven pizza boxes left over from her girls weekend and each pizza box there were 2/5 of a pizzas left how much total pizza was left from the weekend
Answer:
2.8 or [tex]\frac{14}{5}[/tex] or 2[tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Take 0.4 and multiply it by 70.4*7=2.8Someone help plz make sure it’s right :)
Answer:
6 m
Step-by-step explanation:
By Pythagoras Theorem:
[tex]x = \sqrt{ {10}^{2} - {8}^{2} } \\ \\ x = \sqrt{100 - 64} \\ \\ x = \sqrt{36} \\ \\ x = 6 \: m[/tex]
Step-by-step explanation:
10² = 8² + x²
x² = 10² - 8²
x² = 36
x = √36
x = 6
Question 1
What is the distance between the points (-3, 4) and (5, 4)?
8 units
9 units
7 units
1 unit
A rectangular prism has a length of 5 cm, a width of 7 cm, and a height of 4 cm. What is the volume of the prism?
Question 1 options:
A: 39 cm cubed
B: 16 cm cubed
C: 140 cm cubed
Answer: 140
Step-by-step explanation:
AB is the diameter of the circle shown. The radius is 8.5 cm, and AC = 8 cm. Find the following values using the visual given below.
Madison is saving nickels. She saves 1 nickel the first day, 2 nickels the second day, 3 nickels the third day, and so on for 15 days. At this rate, how much money will she save over the 15 day period
Answer:
$6
Step-by-step explanation:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15
there's 10
1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15
1 + 9 = 10
10 + 10 = 20
2, 3, 4, 5, 6, 7, 8, 11, 12, 13, 14, 15
2 + 8 = 10
20 + 10 = 30
3, 4, 5, 6, 7, 11, 12, 13, 14, 15
3 + 7 = 10
30 + 10 = 40
4, 5, 6, 11, 12, 13, 14, 15
4 + 6 = 10
40 + 10 = 50
5, 11, 12, 13, 14, 15
5 + 15 = 20
50 + 20 = 70
11, 12, 13, 14
11 + 14 = 25
70 + 25 = 95
12, 13
12 + 13 = 25
95 + 25 = 120
she would 120 nickels which is
120 x 5 = 600 cents or $6
Can someone help me with this. Will Mark brainliest.
Answer: ur answer would be (1,5)
Step-by-step explanation:
Hope this helps! Have a good day! :)
Determine the measure of the vertical angle. Find x. Step by step ? If not that’s fine.
Answer:
x=60
Step-by-step explanation:
125=2x+5
125-5=120
120÷2=60
x=60
Someone help please
Answer:
-2x2 y1/3
Step-by-step explanation:
The area of the entire figure is 1 square unit
Answer:
Area of shaded part = 0.42 unit²
Step-by-step explanation:
Given:
Length of shaded part = 0.7 unit
Width of shaded part = 3 x 2 = 0.6 unit
Find:
Area of shaded part
Computation:
Area of rectangle = L x B
Area of shaded part = 0.7 x 0.6
Area of shaded part = 0.42 unit²
i missed a day of school and we started a new unit lol
what is 11 times 1/5
Answer:
the answer is 2.2
Step-by-step explanation:
I used a calculator
Answer:
2 1/5 I guess
Step-by-step explanation:
If it's wrong then my phone's stu.pid
evaluate: 24 divided (8 -2)
Answer:
4
Step-by-step explanation:
When finding the probability of getting a heads when flipping a coin. Which of the following should produce an experimental probability closest to the theoretical
probability?
Answer:
ADD EVERTHING UP
Step-by-step explanation:
find the value of x. Round the length to the nearest tenth.
Answer:
Consider the given right triangle. We have to find the value of 'x'. So, the value of 'x' is 9.2 cm. Option 3 is the correct answer.
Step-by-step explanation: