A hemispherical dome holds a volume of 486 (pi) cubic ft. Find the surface area (omit the area of the circle).

1 Answer | Add Yours

jeew-m's profile pic

Posted on

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` .

Sources:

We’ve answered 327,796 questions. We can answer yours, too.

Ask a question