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A bar graph shows the radius (in cm) and height (in cm) of five different cylinders. Cylinder C has radius 14 cm and height 12 cm. Cylinder D has radius 21 cm and height 9 cm. If cylinder C is 40% filled with water and cylinder D is 80% filled with water, then find the difference between the empty volumes of both cylinders (in cm$^3$).

1. 1948.4
2. 1904.4
3. 1930.4
4. 1940.4

Correct answer: 1940.4

Solution

The volume of cylinder C is $\pi\times 14^2\times 12=2352\pi$, so empty volume is 60% of this. The volume of cylinder D is $\pi\times 21^2\times 9=3969\pi$, so empty volume is 20% of this. Using $\pi=\frac{22}{7}$ gives the difference as 1940.4 cm$^3$.

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