Question

A cone has a volume of 942 cubic inches and a height of 9 inches. What is the radius of the cone? Round to the nearest tenth.

Answer 1

10 inches

Step-by-step explanation:

For a cone,

V = (1/3)πr²h

942 = (1/3)(π)(r²)(9)

314/π = r²

Use π = 3.14

r² = 314/3.14

r² = 100

r = 10

Answer: 10 inches

Answer 2

To find the radius of the cone, use the formula r = sqrt((3V)/(πh)). Plugging in the given values, the radius is 7.1 inches (rounded to the nearest tenth).

Step-by-step explanation:

To find the radius of the cone, we can use the formula for the volume of a cone. The formula is V = (1/3)πr^2h, where V is the volume, r is the radius, and h is the height. Rearranging the formula, we have r = sqrt((3V)/(πh)). Plugging in the given values, we get r = sqrt((3 * 942)/(π * 9)) = 7.1 inches (rounded to the nearest tenth).