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 well of diameter 3 m is dug 14 m deep. The earth taken out of it has been spread evenly all around it in the shape of a circular ring of width 4 m to form an embankment. Find the height of the embankment.

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

1.125 m

1.26 m

1.57 m

1.28 m

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given,
Depth or height of well

h_{1} = 14 m

Also, the radius

(r_{1})

of the circular end of well

= \frac{3}{2} m

Embankment width

= 4 m

C:UserssoftberryDownloadsP0041 JPEGQ.52.jpg

The outer radius of embankment

(r_{2}) = 4 + \frac{3}{2}

r_{2} = \frac{11}{2} m

Suppose height of embankment =

h_{2} .

Here,
Soil dug from well volume = Earth volume to make embankment

π \times r_{1}^{2} \times h_{1} = π \times (r_{2}^{2} - r_{1}^{2}) \times h_{2}

π \times {(\frac{3}{2})}^{2} \times 14 = π \times [{(\frac{11}{2})}^{2} - {(\frac{3}{2})}^{2} \times h_{2}]

\frac{9}{4} \times 14 = \frac{112}{4} \times h_{2}

h_{2} = \frac{9}{8} = 1.125 m

Thus, height of embankment = 1.125 m.
Correct option is 1.

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!