ICSE Class X Math 2013 Solved Paper
© examsnet.com
Question : 33
Total: 46
A solid sphere of radius 15 cm is melted and recast into solid right circular cones of radius 2.5 cm and height 8 cm . Calculate the number of cones recast.
Solution:
Radius of a solid sphere, r = 15 cm
Volume of a solid sphere =
π r 3
=
× π ( 15 ) 3 cm 3 .
Now, radius of right circular cone= 2.5 cm and height, h = 8 cm .
Volume of right circular cone=
π r 2 h
=
π ( 2. 5 ) 2 × 8
∴ The number of cones =
=
=
= 270
Now, radius of right circular cone
Volume of right circular cone
© examsnet.com
Go to Question: