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the surface area of sphere of radius 5 cm is 5 times the area of curved surface area of cone of radius .find the height of cone
Verified Answer
the surface area of sphere of radius 5 cm is 5 times the area of curve...
Surface area of the sphere=(4πx5x5) cm^2
= (100π) cm^2.

Curved surface area of the cone=(πx4xl) cm^2
=(4πl) cm^2

∴ 100π=5x(4πl) ⇒ l=5 cm.
Now, l^2 = h^2 + r^2
5^2= h^2 + 4^2
h^2= 9 
h= 3 cm.
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the surface area of sphere of radius 5 cm is 5 times the area of curved surface area of cone of radius .find the height of cone
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