Question

find the volume of the cone. radius: 5 m, height: 5 m round to the nearest whole number. volume = ? m³

Explanation:

Step1: Recall the formula for the volume of a cone

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

Step2: Substitute the given values

We are given that \( r = 5\space m \) and \( h=5\space m \). Substituting these values into the formula, we get:
\( V=\frac{1}{3}\times\pi\times(5)^{2}\times5 \)

Step3: Calculate the value

First, calculate \( (5)^{2}=25 \). Then, \( \frac{1}{3}\times\pi\times25\times5=\frac{125\pi}{3} \).
Using \( \pi\approx3.14159 \), we have \( \frac{125\times3.14159}{3}=\frac{392.69875}{3}\approx130.8996 \)

Step4: Round to the nearest whole number

Rounding \( 130.8996 \) to the nearest whole number gives \( 131 \).

Answer:

\( 131 \)