1- A hemispherical dome holds a volume of 486pie ft^3. Find the surface area (omit the area of the circle.
2- If a regulation NBA basketball has a circumference of 29.5 inches, then find the following: diameter? radius? surface area? volume?
Please make sure the answers are correct before posted. Thanks a lot.
1. The volume of a hemisphere with radius r is given by:
Since the volume of the hemispherical dome is `486 pi ft^3`
`rArr r=9 ft`
Surface Area of a hemisphere omitting the area of the base or the circle = `2 pi r^2`
Substituting the value of `r` we get the surface area =
`=162 pi ft^2`
Therefore, the surface area of the hemispherical dome is `162pi ft^2` .
2. Circumference of the basketball=29.5 inches
Taking `pi=3.14` ;
Hence, diameter=2*radius=2*4.7=9.4 inches
Surface area of the basketball
Volume of the basketball:
`=434.7 ` in^3
Thank you very much