Question

a cylinder has a height of 20 feet and a radius of 10 feet. what is its volume? round your answer to the nearest hundredth. cubic feet

Explanation:

Step1: Recall the formula for the volume of a cylinder

The volume \( V \) of a cylinder is given by the formula \( V=\pi r^{2}h \), where \( r \) is the radius and \( h \) is the height.

Step2: Substitute the given values into the formula

We are given that \( r = 10 \) feet and \( h=20 \) feet. Substituting these values into the formula, we get \( V=\pi\times(10)^{2}\times20 \).

Step3: Simplify the expression

First, calculate \( (10)^{2}=100 \). Then, multiply by 20: \( 100\times20 = 2000 \). So, \( V = 2000\pi \).

Step4: Calculate the numerical value (using \( \pi\approx3.14159 \))

\( V\approx2000\times3.14159=6283.18 \) (rounded to the nearest hundredth).

Answer:

6283.18