Question

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

Answer 1

As , the total surface area of the solid hemisphere = 462 cm² 

⇒ `3pir^2 = 462`

⇒ `3 xx 22/7 xx r^2 = 462`

⇒ `r^2 = (462 xx 7)/(3 xx 22)`

⇒ `r^2 = 49`

⇒ `r^2 = sqrt{49}`

⇒ r = 7 cm

Now, the volume of the solid hemisphere = `2/3 pir^3`

= `2/3 xx 22/7 xx 7 xx 7 xx 7`

= `2156/3` cm³

= `718 2/3 "cm"^3`

= 718.67 `"cm"^3`