Question

find the volume of the cylinder. round your answer to the nearest hundredth.
26.8 cm
9.8 cm
the volume is about cubic centimeters.

Explanation:

Step1: Identify radius and height

The diameter of the cylinder is 26.8 cm, so the radius \( r=\frac{26.8}{2}=13.4 \) cm. The height \( h = 9.8 \) cm.

Step2: Use cylinder volume formula

The formula for the volume of a cylinder is \( V=\pi r^{2}h \). Substitute \( r = 13.4 \) and \( h=9.8 \) into the formula:
\( V=\pi\times(13.4)^{2}\times9.8 \)
First, calculate \( (13.4)^{2}=179.56 \). Then, \( 179.56\times9.8 = 1759.688 \). Then, \( V=\pi\times1759.688\approx3.14159\times1759.688\approx5527.54 \) (rounded to the nearest hundredth).

Answer:

5527.54