Question

Deondra decides to estimate the volume of a coffee cup by modeling it as a right cylinder. She measures its height as 8.6 cm and its circumference as 14.4 cm. Find the volume of the cup in cubic centimeters. Round your answer to the nearest tenth if necessary.​

Answer 1

The volume of the coffee cup is the amount of space in the cup

The volume of the cup is 142.9 cubic centimeters

How to determine the volume?

The given parameters are:

Circumference (C) = 14.4 cm

Height (h) = 8.6 cm

Start by calculating the radius of the base of the cylinder using:

$C = 2\pi r$

So, we have:

$14.4 = 2\pi r$

Make r the subject

$r = \frac{14.4}{2\pi}$

Simplify

r = 2.3

The volume is then calculated as:

$V = \pi r^2 h$

So, we have:

V = 3.14 * 2.3^2 * 8.6

V = 142.9

Hence, the volume of the cup is 142.9 cubic centimeters

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