Final answer:
To find the base radius of the cone, use the formula V = (1/3)πr²h and rearrange it to solve for r. Plug in the given values for V and h, and calculate r. Round the answer to the tenths place.
Step-by-step explanation:
To find the base radius of the cone, we need to use the formula for the volume of a cone: V = (1/3)πr²h, where V is the volume, r is the base radius, and h is the height. Rearranging the formula, we get r² = (3V)/(πh). Plugging in the given values, r² = (3 * 288)/(3.14 * 7) = 246.04. Taking the square root of 246.04, we get r ≈ 15.7.
Round to the tenths place, the base radius of the cone is 15.7 inches.