CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The radii of internal and external surfaces of a hollow spherical shell are 3 cm and 5 cm, respectively. It is melted and recast into a solid cylinder of diameter 14 cm. Find the height of the cylinder. [CBSE 2012]

Open in App
Solution

We have,the internal base radius of spherical shell, r1=3 cm,the external base radius of spherical shell, r2=5 cm andthe base radius of solid cylinder, r=142=7 cmLet the height of the cylinder be h.As,Volume of solid cylinder=Volume of spherical shellπr2h=43πr23-43πr13πr2h=43πr23-r13r2h=43r23-r137×7×h=4353-3349×h=43125-27h=43×9849 h=83 cm

So, the height of the cylinder is 83 cm.

flag
Suggest Corrections
thumbs-up
1
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