Formula for Volume of Hemisphere

Hemisphere is a geometrical object. It is look like a semi circle. Half of the sphere is called as hemisphere. The sphere has the radius r as well as hemisphere also have the radius r. The volume of the hemisphere formula is given below,

Formula:

Volume of hemisphere = (2 / 3) * π * r3

Here, π is constant value; r is radius of the hemisphere.

Example problems - formula for volume of hemisphere

Example 1:

Find the volume of hemisphere with the radius 12 cm.

Solution:

Given hemisphere radius r = 12 cm

Formula:

Volume of hemisphere = (2 / 3) * π * r3

Substitute the given radius value in the above formula, we get

Volume of hemisphere = (2 / 3) * π * 123

= (2 / 3) * π * 1728 cm3

= 1152π cm3

Answer:

The volume of the hemisphere is 1152π cm3

Example 2:

Find the volume of hemisphere with the radius 23 cm.

Solution:

Given hemisphere radius r = 23cm

Formula:

Volume of hemisphere = (2 / 3) * π * r3

Substitute the given radius value in the above formula, we get

Volume of hemisphere = (2 / 3) * π * 233

= (2 / 3) * π * 12167 cm3

= 8111.33π cm3

Answer:

The volume of the hemisphere is 8111.33π cm3

Example 3:

Find the volume of hemisphere with the radius 6 cm.

Solution:

Given hemisphere radius r = 6 cm

Formula:

Volume of hemisphere = (2 / 3) * π * r3

Substitute the given radius value in the above formula, we get

Volume of hemisphere = (2 / 3) * π * 63

= (2 / 3) * π * 216 cm3

= 144π cm3

Answer:

The volume of the hemisphere is 144π cm3

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Example 4:

Find the radius value of the hemisphere. The volume of the hemisphere is 244cm3

Solution:

Given volume of hemisphere is v = 244 cm3

Formula:

Volume of hemisphere = (2 / 3) * π * r3

Substitute the volume value in the above formula, we get

244 cm3 = (2 / 3) * π * r3

Rearrange the above, we get

r3 = 244 * (3 / 2 * π)

= 116.56 cm

r = 4.88 cm

Answer:

The radius of the hemisphere is 4.88 cm

Practice problems - formula for volume of hemisphere

Example 1:

Find the volume of hemisphere with the radius 8 m.

Answer:

The final answer is 341.33 m3

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Example 2:

Find the volume of hemisphere with the radius 15 cm

Answer:

The final answer is 2250 cm3

Example 3:

The area of the hemisphere is 18π cm3. Find the radius of the hemisphere.

Answer:

The radius of the hemisphere is 3 cm.