The radius of the cone is 3 in and y = 5 in. What is the volume of the cone in terms of π?Group of answer choices12π in315π in38π in310π in3
Question
The radius of the cone is 3 in and y = 5 in. What is the volume of the cone in terms of π?
Group of answer choices
12π in³
15π in³
38π in³
310π in³
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 of the cone.
Given that the radius r is 3 in and the height h (represented as y in the question) is 5 in, we can substitute these values into the formula:
V = 1/3 * π * (3 in)² * 5 in V = 1/3 * π * 9 in² * 5 in V = 15π in³
So, the volume of the cone is 15π cubic inches.
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