Question

If the total surface area of a solid hemisphere is 462 cm², find its volume.(Take π = \(\frac{22}7\))

Answer 1

Total surface area of solid hemisphere = 3πr²

⇒ 3πr² = 462 

⇒ 3 × (\(\frac{22}7\)) × r² = 462 

⇒ r² = \(\frac{{462}\times{7}}{{22}\times{3}}\)

⇒ r² =49 

⇒ r = 7 cm 

Volume of solid hemisphere = \(\frac{2}3πr^3\)

= \(\frac{2}3π7^3\) cm³ 

= \(\frac{2}{3}\times\frac{22}7\times7\times7\times7\)

= 718.67 cm³