NTSE Stage 2 MAT 2017 Question Paper

Question : 27 of 100

Marks: +1, -0

A solid metallic cylinder of radius 12 cm and height 175 cm is melted and moulded into another solid cylinder of height 63 cm. What is the radius of the new cylinder?

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Solution:

From given question
Here

\r_1=12 \cm

\h_1=175 \cm

\r_2=?

\h_2=63 \cm

Volume of

\c_1

= Volume of

\c_2

\π\r_1^2\h_1=\π\r_2^2\h_2

12^2×175=\r^2_2×63

∴ \r_2=20

So the radius of new cylinder is 20 cm.

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