Question

question
find the volume of a right circular cone that has a height of 9.9 in and a base with a diameter of 10.1 in. round your answer to the nearest tenth of a cubic inch.
answer attempt 1 out of 2
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Explanation:

Step1: Recall the volume formula for a cone

The volume \( V \) of a right circular cone is given by the formula \( V=\frac{1}{3}\pi r^{2}h \), where \( r \) is the radius of the base and \( h \) is the height of the cone.

Step2: Find the radius of the base

The diameter of the base is given as \( d = 10.1\) in. The radius \( r \) is half of the diameter, so \( r=\frac{d}{2}=\frac{10.1}{2} = 5.05\) in.

Step3: Substitute the values into the formula

We know that \( h = 9.9\) in, \( r=5.05\) in, and \( \pi\approx3.14159\). Substitute these values into the volume formula:

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Answer:

\( 264.4 \)