Find the volume of the cone below if the radius r = 24 cm and the height h = 34 cm (Round your answer to the nearest tenth.)
Question
Find the volume of the cone below if the radius r = 24 cm and the height h = 34 cm (Round your answer to the nearest tenth.)
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,
- π is a mathematical constant whose approximate value is 3.14159.
Given that r = 24 cm and h = 34 cm, we can substitute these values into the formula:
V = 1/3 * π * (24 cm)² * 34 cm
Calculating the square of the radius:
V = 1/3 * π * 576 cm² * 34 cm
Multiplying the values:
V = 1/3 * 3.14159 * 576 cm² * 34 cm
V = 61575.296 cm³
Rounding to the nearest tenth gives a volume of 61575.3 cm³.
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