Question

if the radius of hemisphere is 3r then find its volume

Answer 1

Given: The radius of the hemisphere is 3r.

We have to find the volume of the hemisphere.

• As we know that the formula is used to calculate the volume of the hemisphere is:
• The volume of a hemisphere = $(2/3)\pi r^3$cubic units.
• Where π is a constant whose value is equal to 3.14 approximately.
• “r” is the radius of the hemisphere.

We are solving in the following way:

We have,

The radius of the hemisphere is 3r.

So, the volume of the hemisphere will be:

$(2/3)\pi r^3$

$=>\frac{2}{3} \times \pi \times (3r)^3\\\\=>\frac{2}{3} \times 3.14\times (3r)^3\\\\=>\frac{157}{75} \times (3r)^3\\\\=>\frac{157}{75} \times 27r^3\\\\=>\frac{1413}{25} r^3$

Hence, the volume of the hemisphere$\frac{1413}{25} r^3$.