Geoff is mailing a jar of jam to his grandmother. He finds a rectangular box just tall enough for the jam. Which expression represents the volume of the box that is NOT occupied by the jar?
A. 25πh cm
B. 125πh cm
C. (150 – 25π)h cm
D. 150h – 25π cm
correct answer gets brain
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Given:
Geoff finds a rectangular box just tall enough for the jam.
To find:
Which expression represents the volume of the box that is NOT occupied by the jar?
Solution:
Consider the given figure, while going through the following steps.
From the figure it's clear that,
The volume of the box that is NOT occupied by the jar = Volume of the rectangle - Volume of the cylinder
w.k.t, The volume of rectangle = l × w × h
= 15 × 10 × h
= 150h
w.k.t, The volume of cylinder = π × r² × h
= π × 5² × h
= 25πh
Now consider,
The volume of the box that is NOT occupied by the jar
= 150h - 25πh
= (150 – 25π) h
Therefore, option C. (150 – 25π)h cm³ is correct.
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