Question

A can of soda can be modeled as a right cylinder. Aubrey measures its height as 10.1
cm and its circumference as 14 cm. Find the volume of the can in cubic centimeters.
Round your answer to the nearest tenth if necessary.

Answer 1

The volume of the cylinder is the amount of space in the cylinder

The volume of the cylinder is 218.4 cubic centimeter

How to determine the volume of the cylinder?

The given parameters are:

Circumference (C) = 14 cm

Height (h) = 10.1 cm

Start by calculating the radius (r) using:

$C = 2\pi r$

So, we have:

$2\pi r = 14$

Make r the subject

$r =\frac 7\pi$

The volume of the cylinder is then calculated as:

$V =\pi r^2h$

This gives

$V =\pi * (\frac{7}{\pi})^2 * 14$

Evaluate

$V =218.4$

Hence, the volume of the cylinder is 218.4 cubic centimeter

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