Question

A right triangle ABC with sides 15cm, 12cm, 9cm is revolved about the side 12cm. find the volume of the solid so obtained.
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Answer 1

Answer :

It is given that :

• The triangle ABC is Right angled triangle.
• The sides of that triangle are 9cm ,12cm and 15cm.
• That triangle is revolved about the side 12 cm.

We Have to find the volume of the solid obtained :

To find it's volume :

• When a right triangle is revolved about the side having 12cm, we obtain a right circular cone with radius 9cm and height 12cm
• Therefore,
• Volume obtained of right circular cone will be equal to (1/3) × π × (r)² × h

• => Volume obtained of right circular cone = (1/3) × π × (r)² × h
• => (1/3) × (22/7) × (9)² × 12
• => (1/3) × (22/7) × 9 × 9 × 12
• => 1018.28 cm²

The volume of the solid thus obtained will be 1018.28 cm².

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