The volume of a cone is 62.8 cubic inches. The height of the cone is 15 inches. What is the radius of the cone, rounded to the nearest inch? Use π = 3.14. (5 points)
2 inches
4 inches
8 inches
9 inches
The formula for the volume of a cone is V = (1/3) * π * r^2 * h, where V is the volume, π is a constant (approximately 3.14), r is the radius, and h is the height.
In this case, we have V = 62.8 cubic inches and h = 15 inches.
Plugging these values into the formula, we can solve for the radius:
62.8 = (1/3) * 3.14 * r^2 * 15
Dividing both sides by (1/3) * 3.14 * 15:
r^2 = 62.8 / ((1/3) * 3.14 * 15)
r^2 = 62.8 / (0.3333 * 3.14 * 15)
r^2 = 3.979
Taking the square root of both sides:
r = √3.979
r ≈ 1.99
Rounding to the nearest inch, the radius is approximately 2 inches.