Book Online Demo

Check Your IQ

Try Test

Courses

Offline Centres

A cone, a hemisphere and a cylinder are formed on the same base and with the same height. The ratio of their volumes is:

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

2: 1: 3

1: 2: 3

3: 1: 2

1: 3: 2.

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

It is given that a cone, a hemisphere and a cylinder are formed on the same base and with same height.
Volume of Hemisphere =

23 π r 3

Volume of cone =

13 π r 2 h

Volume of Cylinder =

π r 2 h

Now, the ratio of their volumes is given by,

⇒ (13) π r 2 h : (23) π r 3 : π r 2 h

Here, h = r.

⇒ (13) π r 2 r : (23) π r 3 : π r 2 r

⇒ (13) π r 3 : (23) π r 3 : π r 3

⇒ 13 : 23 : 1

⇒ 1 : 2 : 3

So, the ratio of the volumes

= 1 : 2 : 3

.
Hence, the correct option is 2.

Watch 3-min video & get full concept clarity

JEE

NEET

Foundation JEE

Foundation NEET

CBSE