Answer:
Option C. 160 [tex]inch^{3}[/tex] is the correct answer.
Step-by-step explanation:
We are given that height and radius of sphere and cylinder are same.
Radius 'r' and height 'h'.
We know that Volume of cylinder = [tex]\pi r^{2} h[/tex]
Also, h = r,
So, volume of cylinder = [tex]\pi r^{3} = 120\ inch^{3} ...... (1)[/tex]
Also, Volume of sphere = [tex]\dfrac{4}{3} \pi r^{3}[/tex]
Using equation (1), putting the value of [tex]\pi r^{3}[/tex]
[tex]\Rightarrow \dfrac{4}{3} \times 120\\\Rightarrow 160\ inch^{3}[/tex]
Hence, volume is sphere is option 3) [tex]160\ inch^{3}[/tex]
