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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.

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Maths Teacher for classes 6th to 10th with 6 years experience and having my own YouTube Channel for clearing doubts

A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about the side 12 cm - this suggests that the solid so formed is a right circular cone with slant height (l) = 13 cm, height (h) = 12 cm and radius of base (r) = 5 cm. Volume of cone ∴ Volume of the right circular cone = 314...
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A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about the side 12 cm - this suggests that the solid so formed is a right circular cone with slant height (l) = 13 cm, height (h) = 12 cm and radius of base (r) = 5 cm.

Volume of cone 

 

∴ Volume of the right circular cone = 314 cm³

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POSTGRADUATE INTERNATIONAL ONLINE MATH TUTOR WITH 27 YEARS EXPERIENCE

This rotation will generate a cone of vertical height 12cm and base radius 5cm. The volume of such a cone is 1/3 of pi r square times h. Hence the answer is 314 sq.cm
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Experienced Maths Teacher

V = (pi*r*r*h)/3 = (3.14*5*5*12)/3 = 3.14*100 =314 cu.cm
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