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 rice is in the form of a cone of base diameter $24 m$ and height $3.5 m$ . What is the volume of the rice and how much canvas as cloth is required to just cover the heap?

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

500 m 3

471.1 m 2

528 m 3

471 m 2

528 m 3

471.1 m 2

538 m 3

475.1 m 2

answer is C.

(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 form of heap of rice is a cone of base diameter

24 m

and height

3.5 m

.
We have the following formula,
Volume of a cone

= 13 π r 2 h

Curved surface area of a cone =

π r l

We have,
Diameter =24m

∴ r = 12 m h = 3.5 m

Volume of the heap is,

⇒ 13 × 227 × 12 × 12 × 3.5 ⇒ 22 × 24 ⇒ 528 m 3

l 2 = h 2 + r 2 l 2 = 3.5 2 + 122 l 2 = 722 + 122 l 2 = 494 + 144 l 2 = 49 + 576 4 l 2 = 6254 l = 252 m

Canvas cloth that is required is equal to the curved surface area of the cone.
Area of the canvas will be,

⇒ 227 × 12 × 252 = 22 × 150 7 = 33007 m 2 = 471.1 m 2

Thus the volume of the rice is

528 m 3

and the area of the canvas required to cover it is

471.1 m 2

.
Therefore the correct option is 3.

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

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Get Expert Academic Guidance – Connect with a Counselor Today!