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. Each person must have 4 sq. metres of the space on the ground and 20 cubic metres of air to breath. Find the height of the cone.

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

10 m

20 m

15 m

25 m

answer is C.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given,
A conical tent is to accommodate 11 persons
Each person must have 4 sq. meters
Area of base occupied by the persons,

A = 11 \times 4

A = 44 m^{2}

Area of base, If radius =r,

A = π r^{2}

π r^{2} = 44

So, volume of the cone occupied by the persons,

V = 11 \times 20

V = 220 m^{3}

Now volume of the cone,

V = \frac{1}{3} π r^{2} h

\frac{1}{3} π r^{2} h = 220 m^{3}

The ratio of the volume to the area of cone is,

\Rightarrow \frac{V}{A}

\Rightarrow \frac{\frac{1}{3} π r^{2} h}{π r^{2}} = \frac{220}{44}

\Rightarrow \frac{h}{3} = \frac{220}{44}

\Rightarrow h = 15 m

Thus, the height of the cone = 15 m.
Correct option is 3.

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!