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 0.5 in. to fit the lid on top.

How much coffee can you fit in
the tumbler?

Show your
equation, work, and final answer
Use 3.14 for Pi.

Answer 1

Volume is a three-dimensional scalar quantity. The amount of coffee that can be put in the tumbler is 11.486 in³.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given the diameter of the coffee, the tumbler is 3inches, while the height is 7 inches, also, 0.5 inches is needed to be left to fit the lid on the top. Therefore, the height of the tumbler will be 6.5 inches (7-0.5).

Now, the volume of the coffee tumbler will be,

The volume of the coffee tumbler = (π/4)×D²×h

                                                         = (π/4)×(1.5)²×6.5

                                                         = 11.486 in³

Hence, the amount of coffee that can be put in the tumbler is 11.486 in³.

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