Question

find volume of hemisphere if radius is 30​

Answer 1

Answer:

volume of hemisphere is 56520 cubic unit

Step-by-step explanation:

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Answer 2

Answer:

The volume of the hemisphere is 56571 unit³.

Step-by-step-explanation:

We have given that,

Radius of a hemisphere ( r ) is 30 units.

We have to find the volume of the hemisphere.

Now, we know that,

$\displaystyle{\pink{\sf\:Volume\:of\:hemisphere\:=\:\dfrac{2}{3}\:\pi\:r^3}\sf\:\quad\:-\:-\:-\:[\:Formula\:]}$

$\displaystyle{\implies\sf\:Volume\:of\:hemisphere\:=\:\dfrac{2}{3}\:\times\:\dfrac{22}{7}\:\times\:(\:30\:)^3}$

$\displaystyle{\implies\sf\:Volume\:of\:hemisphere\:=\:\dfrac{2}{3}\:\times\:\dfrac{22}{7}\:\times\:30\:\times\:30\:\times\:30}$

$\displaystyle{\implies\sf\:Volume\:of\:hemisphere\:=\:\dfrac{2\:\times\:22\:\times\:30\:\times\:30\:\times\:\cancel{30}}{\cancel{3}\:\times\:7}}$

$\displaystyle{\implies\sf\:Volume\:of\:hemisphere\:=\:\dfrac{44\:\times\:30\:\times\:30\:\times\:10}{7}}$

$\displaystyle{\implies\sf\:Volume\:of\:hemisphere\:=\:\dfrac{44\:\times\:9\:\times\:1000}{7}}$

$\displaystyle{\implies\sf\:Volume\:of\:hemisphere\:=\:\dfrac{\cancel{396}\:\times\:1000}{\cancel{7}}}$

$\displaystyle{\implies\sf\:Volume\:of\:hemisphere\:=\:56.571\:\times\:1000}$

$\displaystyle{\implies\underline{\boxed{\red{\sf\:Volume\:of\:hemisphere\:=\:56571\:unit^3}}}}$

∴ The volume of the hemisphere is 56571 unit³.