Q25 of 48 Page 13

A right triangle ABC with sides 5 cm, 12 cm, and 13 cm is revolved about the side 12 cm. Find the volume of the solid so obtained.

Concept Used: Volume of cone


Where r = radius of the cone and h = height of the cone.


Given: Dimensions of a right-angled triangle.


Hypotenuse = 13 cm


Base = 5 cm


Perpendicular = 12 cm


Explanation:


When right-angled ΔABC is revolved about its side 12 cm then a cone is formed having


Height (h) = 12 cm


Radius (r) = 5 cm


Slant height (l) = 13 cm



Volume



= 100 π cm3


Hence, the volume of the figure is 100 π cm3.


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