Question

The volume of a hemisphere is 2425 `1/2` cm³ . Find its curved surface area.

Answer 1

As , volume of hemisphere = 2425`1/2`cm³
⇒ `2/3 pir^3 = 2425 1/2`

⇒ `2/3 xx 22/7 xx r^3 = 4851/2`

⇒ `r^3 = (4851 xx 3 xx 7)/(2 xx 2 xx 22)`

⇒ `r^3 = (441 xx 3 xx 7)/(2 xx 2 xx 2)`

⇒ `r^3 = 21^3/2^3`

⇒ `r = 21/2` cm

So , the curved surface area of the hemisphere = `2pir^2`

= `2 xx 22/7 xx 21/2 xx 21/2`

= 693 cm²