Multiple choice

A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about the side 12 cm.What is the volume of the solid so obtained? एक समकोण त्रिभुज ABC जिसकी भुजाएँ 5 सेमी, 12 सेमी और 13 सेमी हैं,12 सेमी वाली भुजा के परितः परिक्रमण करता है। इस प्रकार से प्राप्त ठोस का आयतन क्या है?

  1. 50πcm3 /सेमी3

  2. 100πcm3 /सेमी3

  3. 125πcm3 /सेमी3

  4. 150πcm3 /सेमी3
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The triangle with sides 5, 12, 13 is a right triangle (5² + 12² = 13²). When revolved about the side of 12 cm, it forms a cone with radius r = 5 cm and height h = 12 cm. Volume = (1/3)πr²h = (1/3)π × 25 × 12 = 100π cm³. Option A (50π) would result from using h = 6 or r = √25 incorrectly.

Keep practicing — related questions