A cone has a height of 17 feet and a radius of 12 feet. What is its volume?Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
Question
A cone has a height of 17 feet and a radius of 12 feet. What is its volume?Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
Solution
The volume V of a cone can be found using the formula V = 1/3 * π * r² * h, where r is the radius and h is the height.
Given in the problem, the radius r = 12 feet and the height h = 17 feet.
Substituting these values into the formula, we get:
V = 1/3 * π * (12)² * 17
V = 1/3 * 3.14 * 144 * 17
V = 1/3 * 451.68 * 17
V = 150.56 * 17
V = 2559.52 cubic feet
So, the volume of the cone is approximately 2559.52 cubic feet, rounded to the nearest hundredth.
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