Answer:
Volume of sphere =[tex]\frac{2}{3}(27\pi) ft^3[/tex]
Step-by-step explanation:
We are given that
Radius of sphere=Radius of cylinder=r
Height of sphere=Height of cylinder=h
Height of sphere=h=Diameter of sphere=2r
Volume of cylinder=[tex]27\pi ft^3[/tex]
Volume of cylinder=[tex]\pi r^2 h[/tex]
Using the formula
Volume of cylinder=[tex]\pi r^2(2r)=2\pi r^3=27\pi[/tex]
Volume of sphere=[tex]\frac{4}{3}\pi r^3[/tex]
Using the formula
Volume of sphere=[tex]\frac{2}{3}\times 2\pi r^3=\frac{2}{3}(27\pi)[/tex]
Hence, the volume of sphere =[tex]\frac{2}{3}(27\pi) ft^3[/tex]
