Question

a cone has a height of 13 inches and a radius of 4 inches. what is its volume?
round your answer to the nearest hundredth.
cubic inches

Explanation:

Step1: 写出圆锥体积公式

圆锥体积公式为 \(V=\frac{1}{3}\pi r^{2}h\)，其中\(r\)是底面半径，\(h\)是高。

Step2: 代入数值计算

已知\(r = 4\)英寸，\(h = 13\)英寸，代入公式可得：
\(V=\frac{1}{3}\times\pi\times4^{2}\times13\)
\(=\frac{1}{3}\times\pi\times16\times13\)
\(=\frac{208\pi}{3}\)

Step3: 计算并取近似值

\(\frac{208\pi}{3}\approx\frac{208\times3.14}{3}=\frac{653.12}{3}\approx217.71\)（立方英寸）

Answer:

\(217.71\)