wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Paul wants to put 1200 steel ball bearings (which are spherical in shape) with a radius of 5 mm, into a cylindrical container which is 30 cm high and 18 cm in diameter. Will all the bearings fit into the container?


Open in App
Solution

We are going to work in cm so firrt we change

5 mm 0.5 cm = 12cm

Each ball bearing has volume = 4/3 π(r)3

= 4/3 π(12)3

= π/6

= 0.52 cm3
Cylinder has volume = πr2h

= π(90)2(30)
Now 1200 bearings will have volume 1200 × π/6=200π=628.32cm3

So, they will be able to fit in with lots of room to spare.


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Volume of Cone
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon