volume of 11352/7 if the outer surface area is 8cm and find the surface area
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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
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