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  • A solid metallic cylinder of diameter 12 cm and height 15 cm is melted and recast into toys each in the shape of a cone of radius 3 cm and height 9 cm. Find the number of toys so formed

A solid metallic cylinder of diameter 12 cm and height 15 cm is melted and recast into toys each in the shape of a cone of radius 3 cm and height 9 cm. Find the number of toys so formed.

 

 
 
 
 
 

Answers (1)

Given : 

The diameter of cylinder, D=12\: cm

The radius of cylinder, R=\frac{D}{2}=\frac{12}{2}=6\: cm

Height of cylinder, H=15\: cm

The radius of toy cone, r=3\: cm

Height of toy cone, h=9\: cm

Let the no. of toys be N.

\text{Volume of cylinder }=N \times [\text{Volume of toy cone}]

\Rightarrow \pi R^2H=N \left [ \frac{1}{3}\pi r^2h \right ]

\Rightarrow N= \frac{\pi R^2H}{\frac{1}{3}\pi r^2h}=\frac{3R^2H}{r^2h}

\Rightarrow N=\frac{3\times 6^2\times 15}{3^2\times 9}=20

No. of toys is 20

Posted by

Safeer PP

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