Book Online Demo

Check Your IQ

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 heap of wheat is in the form of a cone of diameter $9 m$ and height $3.5 m .$ Find its volume. How much canvas cloth is required to just cover the heap?

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

47.74 c m 3

and

80.54 c m 2

74.18 c m 3

and

64.57 c m 2

94.48 c m 3

and

80.54 c m 2

74.18 c m 3

and

80.54 c m 2

answer is D.

(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

Given that the diameter of the cone is 9 m and its height is 3.5 m.
We have to find the volume of the cone and the amount of canvas required to cover the heap, i.e., the curved surface area of the cone.
The volume of a circular cone is expressed as,

V = 13 π r 2 h

, where

r

be the radius of a circular cone.
The radius, r will be,
Question Image

The slant height, l of the cone is,
Question Image

So, the volume of the cone, V is,
Question Image

Thus, the curved surface area, A of the cone is,
Question Image

The volume of the cone and the canvas required to cover the heap of wheat is

74.18 c m 3

and

80.54 c m 2

.
Therefore, the correct option is 4.

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th

🔥 Start Your JEE/NEET Prep at Just ₹1999 / month - Limited Offer! Check Now!

Get Expert Academic Guidance – Connect with a Counselor Today!