MathematicsIf the circumference of base of a hemisphere is 2π then its volume is

If the circumference of base of a hemisphere is $2 π$ then its volume is

Name: Interaction with AIR1 JEE Advanced 2023 | Chidvilasreddy JEE Topper
Uploaded: 2023-05-17T14:00:00.000Z
Duration: 20 min 32 s
Description: Get ready for an exclusive insight into the journey of success with Chidvilas Reddy, the All India Rank 1 holder of JEE Advanced 2023

A
$\frac{2 π}{3} r^{3}$ $c m^{3}$
B
$\frac{2 π}{3} c m^{3}$
C
$\frac{8 π}{3} c m^{3}$
D
$\frac{π}{12} c m^{3}$

Solution:

It is given that the circumference of base of a hemisphere

= 2 π

∴ 2 πr = 2 π

∴ r = 1 cm

We know that,
Volume of a hemisphere is

= \frac{2}{3} π (r)^{3}

V = \frac{2}{3} π (1)^{3}

V = \frac{2}{3} π c m^{3}

Hence, the volume of hemisphere is

\frac{2}{3} π c m^{3}

.
Therefore, option 1 is correct.

If the circumference of base of a hemisphere is $2 π$ then its volume is

Solution:

Company

Support

Courses

More

JEE

NEET

CBSE

NCERT solutions

NCERT exemplar

State Board

Subject

Rank Predictor

Engineering Entrance Exam

follow us