Question

TSA of solid hemisphere is 462cm2, Find volume of hemisphere?

Answer 1

Sol:

Given that total surface area of a hemisphere is 462 cm2. 

Let r be the radius of the hemisphere. 

Total surface area of a hemisphere = 3πr2

⇒ 462 = 3×(22/7)×r2

⇒ r2 = (462 x 7) / 66

⇒ r2 = 49

⇒ r = 7 cm

Now,Volume of hemisphere = (2/3)πr3

= (2/3)(22/7)73

= 718.66 cm3

 Hence, volume of hemisphere is 718.66 cm3

Answer 2

Hii There!!

Since, TSA of hemisphere = 462 cm2
=)3×22/7×r×r = 462 
=)r2 = 462×7/3×22
=)r2= 7×7 
=)r=√49cm
=)r = 7 cm

=)volume of hemisphere = 4/3×22/7×7×7 

=) 154×4/3
=)616/3
=). 205.3cm3


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