Question

The volume of a cone is 36 min 3. What is the volume of a cylinder with the same base and height as the cone?

12 in
36 x in
72x in
108 x in
​

Answer 1

Choice D is the answer.

Explanation:

We have given the volume of a cone.

`V_(cone) = 36 in^(3)`

We have to find the volume of cylinder.

The formula to find volume of cylinder is :

`V_(cylinder)=\pi r^(2)h` eq(1)

The formula for volume of cone is :

`V_(cone) =(1)/(3)\pi r^(2) h` eq(2)

Hence , Combining eq(1) and eq(2) , we have

`V_(cone) =(1)/(3) V_(cylinder)`

Putting values in above formula, we have

`36=(1)/(3) V_(cylinder)`

36×3=
`V_(cylinder)`

108 in³ =
`V_(cylinder)`

Hence, Choice D is the answer.

Answer 2

Answer: LAST OPTION

Explanation:

The formula for calculate the volume of a cone is:

`V_(co)=(1)/(3)r^2h\pi`

Where r is the radius and h is the height.

The formula for calculate the volume of a cylinder is:

`V_(cy)=r^2h\pi`

Where r is the radius and h is the height.

As you can see, the difference between the the formulas is that r²hπ of the cone is divided by 3. Therefore, if you know the volume of the cone and you know that cylinder has the same base and height as the cone, you have to multiply the volume of the cone by 3.

Therefore, the result is:

`_(cy)=36in^3*3=108in^3`