Question

a cylinder has a radius of 4.5 centimeters and a height of 6 centimeters. use the pi key on the calculator to find the volume to the nearest tenth of a cubic centimeter. v≈□ cm³

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 \( r = 4.5\) cm and \( h=6\) cm. Substituting these values into the formula, we get \( V=\pi\times(4.5)^{2}\times6 \).
First, calculate \( (4.5)^{2}=4.5\times4.5 = 20.25 \).
Then, multiply this by 6: \( 20.25\times6=121.5 \).
So now the formula becomes \( V = \pi\times121.5 \).

Step3: Calculate the volume using the pi key

Using a calculator with the pi key, we know that \( \pi\approx3.1415926535 \). So \( V\approx3.1415926535\times121.5 \).
Calculating this product: \( 3.1415926535\times121.5 = 381.7035097 \).

Step4: Round to the nearest tenth

To round \( 381.7035097 \) to the nearest tenth, we look at the hundredth place. The digit in the hundredth place is 0, which is less than 5, so we keep the tenths place as it is. So \( 381.7035097\approx381.7 \).

Answer:

\( 381.7 \)