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Consider the hemi-spherical tank of radius 13 m as shown in the figure (not drawn to scale). What is the volume of water (in m³) when the depth of water at the centre of the tank is 6 m?

1. 78π
2. 156π
3. 396π
4. 468π

Correct answer: 396π

Solution

For a hemispherical bowl R=13 with water depth h=6, cap volume = pi*h^2*(3R-h)/3 = pi*36*(39-6)/3 = pi*36*11 = 396*pi. Stored 156*pi is wrong; correct is 396*pi.

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