A cylindrical tennis ball container can contain maximum three balls stacked on one another The ...........

Quantitative Aptitiude (CLAT) Mensuration

A cylindrical tennis ball container can contain maximum three balls stacked on one another. The top and bottom bails also touch the lid and the base of the container respectively. If the volume of a tennis ball is 240 cm’, then what is the volume of the container?

1080 cm³

840 cm³

1440 cm³

720 cm³

Explanation:

Volume of tennis ball = Volume of sphere = 4/3πr³= 240
Thus, πr³= 180
Now, radius of container = r & its height = 6r
Volume = πr²h = πr²(6r)
= 6πr³= 6×180 = 1080 cm³.