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A Solid Metallic Sphere of Radius 5.6 Cm is Melted and Solid Cones Each of Radius 2.8 Cm and Height 3.2 Cm Are Made. Find the Number of Such Cones Formed. - Mathematics

Answer in Brief

A solid metallic sphere of radius 5.6 cm is melted and solid cones each of radius 2.8 cm and height 3.2 cm are made. Find the number of such cones formed. 

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Solution

Let the number of such cones formed be n
Now, Volume of solid metallic sphere = Volume of n solid cones

\[\Rightarrow \frac{4}{3} \times \frac{22}{7} \times \left( 5 . 6 \right)^3 = n \times \frac{1}{3} \times \frac{22}{7} \times \left( 2 . 8 \right)^2 \times 3 . 2\]

\[ \Rightarrow 4 \times \left( 5 . 6 \right)^3 = n \times \left( 2 . 8 \right)^2 \times 3 . 2\]

\[ \Rightarrow n = 28\]

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APPEARS IN

RD Sharma Class 10 Maths
Chapter 14 Surface Areas and Volumes
Exercise 14.1 | Q 22 | Page 29
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