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: Find the radius

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

Step2: Recall the volume formula for 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. Here, \( h = 9.8 \) cm.

Step3: Substitute the values into the formula

First, calculate \( r^{2}=(13.4)^{2}=179.56 \). Then, multiply by \( \pi \) and the height: \( V=\pi\times179.56\times9.8 \).

Step4: Calculate the volume

\( V\approx3.14159\times179.56\times9.8 \approx 3.14159\times1759.688 \approx 5527.54 \) (rounded to the nearest hundredth).

Answer:

5527.54