Answer:
Volume of sphere = 200 in³
Step-by-step explanation:
Given:
Volume of cylinder = 150 in³
Height = Radius
Radius of cylinder = Radius of sphere
Find:
Volume of sphere = ?
Computation:
[tex]Volume\ of\ cylinder = \pi r^2h\\\\Given\ r=h\\\\So, \\\\Volume\ of\ cylinder = \pi r^2r\\\\150 = \pi r^3\\\\[/tex]
[tex]Volume\ of\ sphere =\frac{4}{3} \pi r^3\\\\We\ know \ that , \pi r^3 = 150\\\\ Volume\ of\ sphere =\frac{4}{3} \times 150\\\\Volume\ of\ sphere =200[/tex]
Volume of sphere = 200 in³
