Question

which is the best approximation of the volume of a cylinder with a radius of 10 mm, and a height of 5 mm? use 3.14 for π.
785 cubic millimeters
157 cubic millimeters
1,570 cubic millimeters
523 cubic millimeters

Explanation:

Step1: Recall volume formula

The volume formula for a cylinder is $V = \pi r^{2}h$.

Step2: Substitute values

Given $r = 10$ mm, $h=5$ mm and $\pi = 3.14$. Substitute into the formula: $V=3.14\times10^{2}\times5$.

Step3: Calculate

First, $10^{2}=100$. Then $3.14\times100\times5=314\times5 = 1570$ cubic - millimeters.

Answer:

1,570 cubic millimeters