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 military tent of height $8.25 m$ is in the form of a right circular cylinder of base diameter $30 m$ and height $5.5 m$ surmounted by a right circular cone of same base radius. Find the length of the canvas use in making the tent, if the breadth of the canvas is $1.5 m$

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

957.36 m

824.3 m

758.25 m

583.69 m

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given is a military tent, height is 8.25m, base diameter is 30m, height of cylinder is 5.5m.
Breadth of canvas is 1.5m.
CSA of cone

= π r l

, here r is radius, l is slant height.
CSA of cylinder

= 2 π r h

, here h is height.
Drawing the required figure,
Question Image

Therefore, the height of the right circular cone is,

⇒ 8.25 − 5.5 ⇒ 2.75 m

The slant height of the conical section,

l = r 2 + h 2 ⇒ l = 152 + 2.75 2 ⇒ l = 225 + 7.5625 ⇒ l = 15.25 m

Now,
Area of the canvas = Surface area of cone + Surface area of the cylinder,

⇒ π r l + 2 π r h ⇒ π × 15 × 15.25 + 2 × π × 15 × 5.5 ⇒ 718.9 + 518.57 ⇒ 1236.47 m 2

The length of the canvas,

⇒ 1236.47 1.5 ⇒ 824.3 m

Thus, the required length of the canvas is 824.3m.
Therefore, option (2) 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!