Question

The formula for the volume of a cylinder is V = πr^2h. Solve for height, h. Explain, thank you.

a) h = V / (πr^2)
b) h = V / r
c) h = V * r
d) h = V - r^2

Answer 1

To find the height of a cylinder given its volume, you divide the volume by pi times the radius squared, leading to option a) h = V / (πr^2).

Step-by-step explanation:

To solve for height h in the volume formula for a cylinder, which is V = πr^2h, we need to manipulate the formula to isolate the variable h. Starting with the original formula, we divide both sides by πr^2 to get h by itself:

h = V / (πr^2)

Therefore, the correct option for expressing the height in terms of the volume V, the radius r, and π (pi) is:

a) h = V / (πr^2)