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

The diameters of two circular ends of a bucket are 44 cm and 24 cm, and the height of the bucket is 35 cm. Which of the following is the capacity of the bucket?

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

31.7 litres

32.7 litres

33.7 litres

34.7 litres

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given that the diameter of one end of the bucket is,
D = 44 cm

⇒ R = 22 cm

And the diameter of the other end is,

d = 24 c m 2 r = 24 c m

⇒ r = 12 cm

Given that the height of the bucket is

h = 35 c m

.
The shape of the bucket looks like as frustum of a cone.
So, the capacity of the bucket will be equal to the volume of the frustum of the cone.
Therefore, the capacity of the bucket is,

= 13 π h R 2 + r 2 + R r

= 13 × π × 35 (22) 2 + (12) 2 + 22 × 12

= 35 π 3 [484 + 144 + 264]

= 35 π × 892 3

= 35 × 22 × 892 3 × 7

= 32706.6 cm 3

As we know that

1000 cm 3 = 1 L

.
So, the capacity of bucket

= 32.7 L

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!