The Volume of a hemisphere is . Find its curved surface area.
Let the radius of hemisphere be r cm
Volume of hemisphere is given by πr3
Given, volume of hemisphere = 24251/2 cm3
∴ π r3 = 24251/2
⇒ r3 = 4851 × 1/2 × 3/2 × 7/22
⇒ r3 = 1157.625 cm3
⇒ r = (1157.625)1/3 cm
⇒ r = 10.5 cm
Curved Surface Area of hemisphere = 2πr2
Curved Surface Area of hemisphere = 2 × 22/7 × (10.5)2 cm2
= 693 cm2
∴ Curved surface area of hemisphere = 693 cm2