A cylindrical tennis ball container contains three balls stacked on one another, such that they touch thewall of the container. The top and bottom balls also touch the lid and the base of thecontainer respectively. If the volume of a tennis ball is 160 cm3, then what is the volume of the container?

Answers (1)

The volume of a tennis ball $$ = 160 cm^3

We know that the volume of the sphere$$=frac43 pi r^3

                                               $$160 = fraaac43 	imes frac227 	imes r^3 $$\ $$ r^3 = frac160	imes 3 	imes 7 4 	imes 22$$\ $$r^3 = frac40011 $$\ $$ r = 3.36$$\ $$ d =6.72

The diameter of the tennis ball  $$ d =6.72

The height of the cylinder $$ h= 3 	imes 6.72 = 20.16cm

The radius of cylinder = Radius of ball

The volume of the cylinder

                           $$ V =pi r^2 h $$\ $$ V = frac227 	imes (3.16)^2 	imes 20.16 $$\ $$ V = 715.30 cm^3

Therefore, the volume of the container $$ V = 715.30 cm^3

 

Most Viewed Questions

Preparation Products

Knockout NEET May 2023 (Easy Installments)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 5499/-
Buy Now
Knockout JEE Main April 2021 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 14000/- ₹ 4999/-
Buy Now
Knockout NEET Aug 2021 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 14000/- ₹ 4999/-
Buy Now
Knockout JEE Main May 2021

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 22999/- ₹ 9999/-
Buy Now
Knockout NEET Aug 2021

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 22999/- ₹ 9999/-
Buy Now
Boost your Preparation for JEE Main with our Foundation Course
 
Exams
Articles
Questions