Question

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

V =

Write the formula to calculate the height, h.

A. h = V / (1/3 * π * r^2)
B. h = V / (π * r^2)
C. h = (1/3 * π * r^2) / V
D. h = (π * r^2) / V

Answer 1

The correct formula to calculate the height of a cone using its volume is h = V / (1/3 * π * r^2), which is option A.

Step-by-step explanation:

The question refers to the formula for the volume of a cone, V, given by V = (1/3) π r^2 h. If we wish to rearrange this formula to solve for the height h, we need to isolate h on one side of the equation. We do so by multiplying both sides of the equation by 3 and then dividing by πr^2. This results in the formula to calculate height:

h = V / (1/3 π r^2)

Correct Option

The correct option is A, which reads:
A. h = V / (1/3 * π * r^2)