Mental Math The volume of a cylinder is 1967 in.
43 and the height of the cylinder is 1 in. What is the radius of the cylinder?
The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height.
We can rearrange the formula to solve for the radius: r = √(V/(πh))
Given that the volume V = 1967 in³ and the height h = 1 in, we can substitute these values into the formula:
r = √(1967/(π*1))
Calculating this expression, we find:
r ≈ √(1967/3.14)
r ≈ √625.159
r ≈ 25
Therefore, the radius of the cylinder is approximately 25 inches.