The formula used for volume of the hemisphere is

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

\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.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

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.

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th