Question

question: find the volume of a right circular cone that has a height of 2.3 in and a base with a diameter of 3.6 in. round your answer to the nearest tenth of a cubic inch. answer: attempt 1 out of 2 in³ submit answer

Explanation:

Step1: Find the radius

The diameter $d = 3.6$ in, so the radius $r=\frac{d}{2}=\frac{3.6}{2}=1.8$ in.

Step2: Recall the volume formula for a cone

The volume formula of a cone is $V = \frac{1}{3}\pi r^{2}h$, where $h = 2.3$ in.

Step3: Substitute the values of $r$ and $h$ into the formula

$V=\frac{1}{3}\times\pi\times(1.8)^{2}\times2.3=\frac{1}{3}\times\pi\times3.24\times2.3=\pi\times1.08\times2.3 = 2.484\pi$.

Step4: Calculate the numerical value and round

$V\approx2.484\times3.14 = 7.8$.

Answer:

$7.8$ in$^{3}$