A hemispherical dome holds a volume of 486 (pi) cubic ft. Find the surface area (omit the area of the circle).
The volume of a hemisphere with radius r is given by;
`V = 2/3pir^3`
Since the volume is `486pift^3` ;
`486pi = 2/3pir^3`
`r = ((486xx3)/2)^(1/3)`
`r = 9ft`
Area of hemisphere `= 2pir^2`
Area of hemisphere `= 2xxpixx9^2 = 162pift^2`
So the area of the hemisphere is `162pift^2` .