Question

question
find the volume of a right circular cone that has a height of 10.7 in and a base with a diameter of 8.1 in. round your answer to the nearest tenth of a cubic inch.
answer
attempt 2 out of 2
in³
submit answer
show examples
score: 7/15
penalty: 1 off

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

The diameter \( d \) of the base is given as \( 8.1 \) in. The radius \( r \) is half of the diameter, so \( r = \frac{d}{2}=\frac{8.1}{2}=4.05 \) in.

Step3: Substitute the values into the formula

We know that \( h = 10.7 \) in, \( r = 4.05 \) in, and \( \pi\approx3.14159 \). Substitute these values into the volume formula:

$$
LATEXBLOCK0
$$

Answer:

\( 183.8 \)