Question

volume of hollow sphere is 11,352 /7if the outer surface area is 8cm and find the inner surface area ​

Answer 1

Step-by-step explanation:

Let R and r be the outer and inner radii of the hollow sphere respectively.

Let V be the volume of the hollow sphere.

Now, given that V=

7

11352

cm

3

⇒

3

4

π(R

3

−r

3

)=

7

11352

⇒

3

4

×

7

22

(8

3

−r

3

)=

7

11352

512−r

3

=387⇒r

3

=125=5

3

Hence, the inner radius, r=5cm.

solution