Question

The surface area of a sphere of radius 5 cm is five times the CSA of a cone of radius 4 cm. Find the height and volume of the cone.

Answer 1

Step-by-step explanation:

Surface area of the sphere=(4π×5×5) cm²

= (100π) cm².

Curved surface area of the cone=(π×4×l) cm²

=(4πl) cm²

∴ 100π=5×(4πl) ⇒ l=5 cm.

Now, l² = h² + r²

5²= h² + 4²

h²= 9

h= 3 cm.

volume : 1/3πr²h

= 1/3 * 22/7 * 4*4*3

35.2/7

50.29cm²