Question

A coffee tumbler like the one below is 7 in. tall and has a diameter of 3 in.When filling the tumbler, you need to leave in 0.5 in. to fit the lid on top. How much coffee can you fit in the tumbler? Use 3.14 for pi.

Answer 1

Given,

The height of the coffee tumbler is 7 inches.

The diameter of the coffee tumbler is 3 inches.

The length to leave from top is 0.5 inches.

Required:

The amount of coffee fit in the tumbler.

The height upto where the coffee be filled in tumbler is (7 - 0.5) = 6.5 inches.

The volume of the cylinder is

`Volume\text{ =}\pi r^2h`

Substituting the values then,

`\begin{gathered} Volume\text{ =3.14}*(3)/(2)*(3)/(2)*6.5 \\ =3.14*1.5*1.5*6.5 \\ =45.9225 \end{gathered}`

Hence, the amount of coffee in the tumbler is 45.9225 inches^3.