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Find the volume of a right circular cone that has a height of 17.1 in and a base with a

circumference of 16.3 in. Round your answer to the nearest tenth of a cubic inch.

2 Answers

4 votes

Answer:

102.5

Step-by-step explanation:

this is the correct answer

User Bruria
by
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1 vote

Final answer:

To find the volume of a right circular cone, calculate the radius from the given circumference and then use the formula V = (1/3)πr²h, substituting the values for radius (r) and height (h), and finally rounding the result to the nearest tenth.

Step-by-step explanation:

The student has asked for the volume of a right circular cone with a known height and the circumference of its base. To find the volume, we need the radius of the base, which we can calculate using the formula for the circumference of a circle, C = 2πr.

Once we have the radius, we can use the formula for the volume of a cone, which is V = (1/3)πr²h.

First, we calculate the radius from the given circumference:

  • C = 16.3 in
  • 16.3 = 2πr
  • r = 16.3 / (2π)

Upon finding the radius, we then plug it into the volume formula:

V = (1/3)πr²(17.1)

With calculations, the student will end up with an answer in cubic inches, which they will then round to the nearest tenth as instructed.

User Orwellophile
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