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A triangle having sides equal to 7cm, 24cm and 25cm forms a cone when revolved about 24cm side. What is the volume of a cone formed?(a) 1225cm^3(b) 1232cm^3(c) 4000cm^3(d) 3696cm^3This question was posed to me in semester exam.Question is taken from Volume of a Right Circular Cone in portion Surface Areas and Volumes of Mathematics – Class 9

Answer» RIGHT CHOICE is (b) 1232cm^3

The best I can explain: As shown in the FIGURE, when the cone is formed, its base radius is 14cm and height is 24cm.

We KNOW that volume of a cone = \(\frac{1}{3}\) πr^2h

= \(\frac{1}{3} * \frac{22}{7}\) * 7 * 7 * 24

= 1232cm^3.


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