The formula used for volume of the hemisphere is

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\frac{2}{3} π r^{3}

\frac{1}{3} π r^{3}

\frac{2}{3} πr

\frac{5}{3} π r^{3}

answer is A.

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Detailed Solution

Here, we have to find the formula used for volume of the hemisphere.
If we cut a sphere along its diameter, we get two hemispheres as shown below,
Question Image

We know that,
Volume of sphere

= \frac{4}{3} π r^{3},

where r is its radius.
Therefore, volume of the hemisphere =

\frac{1}{2} \times \frac{4}{3} π r^{3}

.
Thus, volume of hemisphere

= \frac{2}{3} π r^{3} .

Hence option (1) is correct.

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