Book Online Demo

Check Your IQ

Try Test

Courses

Offline Centres

Volume of a hollow sphere is $\frac{11352}{7} {cm}^{3} .$ If the outer radius is 8cm, find the inner radius of the sphere. (Take $π = \frac{22}{7})$ )

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

2 cm

5 cm

4 cm

6 cm

answer is B.

(Unlock A.I Detailed Solution for FREE)

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given,
Volume of sphere V=

\frac{11352}{7} {cm}^{3}

Outer radius R = 8 cm
Inner radius R =?
The volume of sphere can be given as,

V = \frac{4}{3} π (R^{3} - r^{3})

\frac{11352}{7} = \frac{4}{3} \times \frac{22}{7} (8^{3} - r^{3})

\frac{11352}{7} = 512 - r^{3}

387 = 512 - r^{3}

r^{3} = 125

r^{3} = 5^{3}

So,

r = 5 cm

So, value of inner radius is 5 cm.
Correct option is 2.

Watch 3-min video & get full concept clarity

Ready to Test Your Skills?

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

Take Free Test