Question

If the total surface area of a solid hemisphere is 462 cm², then find its volume.

Answer 1

Total surface area of a solid hemisphere = 462 cm²

We know, Total surface area of a solid hemisphere = 3 πr²

462 = 3 πr²

r² = 3234/66

or r = 7

Now, volume of solid hemisphere = 2/3 πr³

= 2/3 x 22/7 x 7 x 7 x 7

= 2156/3

= 718.67

So, volume of solid hemisphere is 718.67 cm³