Question

# The base radius and height of a right circular solid cone are $$12 cm$$ and $$24 cm$$, respectively. It is melted and recast into spheres of diameter $$6 cm$$ each. Find the number of spheres so formed.

A
48
B
40
C
32
D
24

Solution

## The correct option is C $$32$$Radius of a right circular solid cone $$=12 cm$$Height of a right circular solid cone $$=24 cm$$Sphere diameter $$=6 cm$$Volume of right circular solid cone $$=V=N \times$$ Volume of sphere$$V=\cfrac 13 \pi { r }^{ 2 }h=N\times \cfrac { 4 }{ 3 } \pi { r }^{ 3 }$$$$\cfrac 13 \times { 12 }^{ 2 }\times 24=N\times \cfrac { 4 }{ 3 } { 3 }^{ 3 }$$$$N=32$$Mathematics

Suggest Corrections

0

Similar questions
View More

People also searched for
View More