An Important Question of class 10 Based on Mensuration Chapter of M.L Aggarwal for ICSE BOARD.
A metallic sphere of radius 10.5 cm is melted and then recast into small cones, each of radius and height are given.Then you have to find the number of cones thus obtained.
This is the Question Number 23, Exercise 17.5 of M.L Aggarwal.
Deepak BoraNewbie
A metallic sphere of radius 10.5 cm is melted and then recast into small cones, each of radius 3.5 cm and height 3 cm. Find the number of cones thus obtained.
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Given radius of the metallic sphere, R = 10.5 cm
Volume of the sphere = (4/3)R3
= (4/3)×10.53
= 1543.5 cm3
Radius of cone, r = 3.5 cm
Height of the cone, h = 3 cm
Volume of the cone = (1/3)r2h
= (1/3)×3.52×3
= 12.25 cm3
Number of cones made from sphere = Volume of sphere / volume of cone
= 1543.5 /12.25
= 126
Hence the number of cones that can be made is 126.