Volume of water in a spherical bowl

Volume of water in a spherical bowl

IB Year 6 | Grade 12

A hemispherical bowl of radius \(8\) cm contains water to a depth of \(3\) cm.
Given that the equation of a circle at centre \((a, b)\) and radius \(r\) is
\[ (x - a)^2 + (y - b)^2 = r^2, \]
what is the volume of water in the bowl?

Solution:

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Answer:\(63\pi\,\mathrm{cm}^3\).

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