The volume of a cone is 392.5 cubic inches. The height of the cone is 15 inches. What is the radius of the cone, rounded to the nearest inch? (Use rt = 3.14.)

Answer 1

The volume of a cone is given by the formula V = 1/3 * π * r^2 * h, where V is the volume, r is the radius, and h is the height.

To find the radius of the cone, we need to rearrange the formula:
r^2 = (V / (1/3 * π * h))
r^2 = (V / (0.333 * 3.14 * 15))
r^2 ≈ (392.5 / 15.71)
r^2 ≈ 24.97

To solve for r, we take the square root of both sides:
r ≈ √24.97
r ≈ 4.997

Rounded to the nearest inch, the radius of the cone is 5 inches.