A solid metallic cylinder of base radius 3 cm and height 5 cm is melted to form cones, each of height 1 cm and base radius 1 mm. The number of cones is :
A. 450
B. 1350
C. 4500
D. 13500
Answer: Option D
Solution(By Examveda Team)
$$\eqalign{ & {\text{Volume of cylinder :}} \cr & = \left( {\pi \times 3 \times 3 \times 5} \right)c{m^3} \cr & = 45\pi \,c{m^3} \cr & {\text{Volume of a cone :}} \cr & = \left( {\frac{1}{3}\pi \times \frac{1}{{10}} \times \frac{1}{{10}} \times 1} \right)c{m^3} \cr & = \frac{\pi }{{300}}\,c{m^3} \cr & \therefore {\text{Number of cones :}} \cr & = \left( {45\pi \times \frac{{300}}{\pi }} \right) \cr & = 13500 \cr} $$Join The Discussion
Comments ( 1 )
Related Questions on Volume and Surface Area
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In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:
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It is absolutely correct it's very helpful