Find the volume of a right circular cone that has a height of 10.5 in and a base with a circumference of 7.1 in. Round your answer to the nearest tenth of a cubic inch.

Question

Mathematics

Alec Berg

30 July, 00:59

Find the volume of a right circular cone that has a height of 10.5 in and a base with a circumference of 7.1 in. Round your answer to the nearest tenth of a cubic inch.

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Answers (1)

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Ivan Jimenez · Answer 1

14 cubic inches

Step-by-step explanation:

First, we have to find the radius from the circumference. We know that the circumference can be found using the equation c = 2pi (r). Set c equal to 7.1, and solve for r by dividing by 2pi.

Now, we have a radius of 1.13. Using this, we can plug the radius and the height into the equation used to find the volume of a cone: v = pi (r^2) (h/3)

This leads us to 14.04, or 14, when rounded to the nearest tenth of a cubic inch.