ICSE Class X Math 2014 Solved Paper

Show Para  Hide Para 
The surface area of a solid metallic sphere is 2464cm2 . It is melted and recast into solid right circular cones of radius 3.5cm and height 7cm . Calculate :
© examsnet.com
Question : 33
Total: 52
the number of cones recast. (Take π= 22/7)
Solution:  
Volume of sphere =
4
3
π
r3
=
4
3
π
(14)3

Volume of cone =
1
3
π
r2
h

=
1
3
π
(3.5)2
×7

No. of cones recast =
Volume of sphere
Volume of cone

=
4π
3
(14)3
1
3
π
(3.5)2
×7

=
4×14×14×14
3.5×3.5×7

=
3200
25
=128.
© examsnet.com
Go to Question: