Question

find the number cones of radius 3.5cm and height 2 cm that can be obtained by melting a cylinder of radius 42 cm and height 6cm​

Answer 1

Answer

Given:

Radius (r  

1

​  

) of hemisphere =4.2 cm

Radius (r  

2

​  

) of cylinder =6 cm

Height (h) = ?

The object fromed by recasting the hemisphere will be same in volume.

So, Volume of sphere = Volume of cylinder

3

4

​  

πr  

1

3

​  

=πr  

2

2

​  

h

⟹  

3

4

​  

π×(4.2)  

3

=π(6)  

2

h

⟹  

3

4

​  

×  

36

4.2×4.2×4.2

​  

=h

h=(1.4)  

3

=2.74  cm

Therefore, the height of cylinder so formed will be 2.74 cm.

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