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 and round your answer to the nearest hundredth.
Solution
The volume V of a cone can be found using the following formula:
V = 1/3 * π * r² * h
where:
- r is the radius of the base of the cone,
- h is the height of the cone,
- and π is a mathematical constant whose approximate value is 3.14.
Substituting the given values into the formula, we get:
V = 1/3 * 3.14 * (12 ft)² * 17 ft
Calculating the square of the radius (12 ft)² = 144 ft².
Substituting this back into the formula, we get:
V = 1/3 * 3.14 * 144 ft² * 17 ft
Multiplying these values together, we get:
V ≈ 2411.84 cubic feet.
So, the volume of the cone is approximately 2411.84 cubic feet, rounded to the nearest hundredth.
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