Question

Type the correct answer in the box.

The formula for the volume, V, of a cone having the radius, r, and the height, h, is shown below.
V = r²h
Write the formula to calculate the height, h.

Answer 1

Cone: h =
`3(V)/(\pi r^(2) )`

Cylinder: h =
`(V)/(\pi r^(2) )`

Explanation:

- the formula you described is not the formula for the volume of a cone as it is V =
`\pi rx^(2) (h)/(3)`

- to find the height you simply rearrange the formula, so the formula to calculate the height of the cone is:

- h =
`3(V)/(\pi r^(2) )`

- based on the formula you described, it is closer to a cylinder and the formula for the volume of a cylinder is: V =
`\pi r^(2) h`

- once again, to find the height you simply rearrange the formula, so the formula to calculate the height of the cone is:

- h =
`(V)/(\pi r^(2) )`

hope this helps :)