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

If the volumes of two cones are in the ratio 1:4 and their diameter are in the ratio 4:5, then write the ratio of their weights.

Open in App
Solution

Given: Volumes of two cones are in ratio: 1:4

and their diameters are in ratio: 4:5

Then their radii will also be in a ratio: 4:5

Let V1 and V2 be the volumes of the two cones
and h1 and h2 be the heights and r1 and r2 be the radii of the the cones

Then V1V2=13πr21h113πr22h2

=(r1r2)2h1h2

14=(45)2h1h2

h1h2=2516×14

h1h2=2564

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