Question

what is the volume of a cylinder with base radius 2 and height 9? either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a decimal.

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 of the base and \( h \) is the height of the cylinder.

Step2: Substitute the given values into the formula

We are given that \( r = 2 \) and \( h=9 \). Substituting these values into the formula, we get \( V=\pi\times(2)^{2}\times9 \).
First, calculate \( (2)^{2}=4 \). Then, multiply \( 4 \) by \( 9 \) to get \( 36 \). So, \( V = 36\pi \) (exact form).
If we use \( \pi=3.14 \), then \( V=3.14\times4\times9 \). First, \( 3.14\times4 = 12.56 \), then \( 12.56\times9=113.04 \).

Answer:

Exact answer: \( 36\pi \); Decimal answer: \( 113.04 \)