Question:

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.

CBSE Class IX

Updated On: Nov 17, 2023

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Solution and Explanation

When right-angled \(∆ABC\) is revolved about its side 12 cm, a cone with height (h) as 12 cm, radius (r) as 5 cm, and slant height (\(l\)) 13 cm will be formed.

right-angled ∆ABC is revolved about its side 12 cm
Volume of cone= \(\frac{1}{3}\pi\)r²h
= \(\frac{1}{3}\) × \(\pi\) × 5 cm × 5 cm × 12 cm
= 100\(\pi\) cm³
Volume of the cone is 100\(\pi\) cm³

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Questions Asked in CBSE Class IX exam

Section A	Section B
0 − 10	3	0 − 10	5
10 − 20	9	10 − 20	19
20 − 30	17	20 − 30	15
30 − 40	12	30 − 40	10
40 − 50	9	40 − 50	1

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Section A		Section B
Marks	Frequency	Marks	Frequency
0 − 10	3	0 − 10	5
10 − 20	9	10 − 20	19
20 − 30	17	20 − 30	15
30 − 40	12	30 − 40	10
40 − 50	9	40 − 50	1

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.

Solution and Explanation

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Questions Asked in CBSE Class IX exam