Question

a cone has a radius of 5.5 centimeters and a height of 8 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 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 into the formula

We are given that \( r = 5.5 \) cm and \( h=8 \) cm. Substituting these values into the formula, we get:
\( V=\frac{1}{3}\times\pi\times(5.5)^{2}\times8 \)
First, calculate \( (5.5)^{2}=5.5\times5.5 = 30.25 \)
Then, multiply \( 30.25\times8=242 \)
So now the formula becomes \( V=\frac{1}{3}\times\pi\times242 \)

Step3: Calculate the volume

Using the pi key on the calculator, we have:
\( V=\frac{242}{3}\times\pi\approx\frac{242}{3}\times3.141592654\)
\( \frac{242}{3}\approx80.6667 \)
Then \( 80.6667\times3.141592654\approx253.4 \) (rounded to the nearest tenth)

Answer:

\( 253.4 \)