AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

A conical tent is to accommodate 11 persons. If each person must have $4 m$ of the space on the ground, and $20 m 3$ of air to breath, the height of the conical tent should be

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

16m

10m

15m

answer is D.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

It is given that a conical tent is to accommodate 11 persons such that each person must have

4 m

of the space on the ground, and

20 m 3

of air to breath.
We know that the area of the base of the cone is

π r 2 .

Volume of cone is

13 π r 2 h,

where r is the radius of base, h is the height of the cone
Let the radius be r meters and height be h meters.
The radius of the base can be calculated as,

π r 2 = 44 ⇒ r 2 = 44 × 722 ⇒ r = 14 m

The volume of the cone is,

11 × 20 m 3 = 220 m 3 .

The height of the cone can be calculated as,

220 = 13 × 227 × 14 × h ⇒ h = 220 × 3 22 × 2 ⇒ h = 15 m

Therefore the height of the cone is 15 m.
Hence, option (4) is correct.

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

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

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!