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Question

A right angled triangle having its base and height equal to 24 cm and 7 cm respectively is rotated by 360 along its base. Find the curved surface area of resultant figure.


  1. 520cm2
  2. 550cm2
  3. 450cm2
  4. 1460cm2


Solution

The correct option is B 550cm2

When a right angled triangled is rotated by 360 along its base, it forms a cone.
By Pythagoras theorem, slant height = 242+72 = 25 cm
When triangle rotates around its base, radius will be 7 cm.
So, curved surface area = πrl=227×7 cm×25 cm=550cm2

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