Question

A cylindrical tennis ball container can contain maximum of 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 cm³, then what is the volume of the container?

Options

• 1080 cm³

• 840 cm³

• 1440 cm³

• 720 cm³

Answer 1

1080 cm³

Explanation:

Given volume of 1 Tennis Ball = 240 cm³ 

V_B = `4/3 pi "r"^3 = 240`

`"r"^3 = (240 xx 3)/(4pi)`

Radius of cylindrical container = r

Height of cylindrical container = 6r

Volume of cylindrical container = π r² (6r)    {πr²h}

V_c = 6πr³

V_c = 6 × π × `(240 xx 3)/(4 xx pi) = 1080 "cm"^3`