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 solid iron cuboidal block of dimensions 4.4 m × 2.6 m × 1m is recast into a hollow cylindrical pipe of internal radius 30 cm and thickness 5 cm. What is the length of the pipe?

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

113m

112m

110m

102m

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

It is given that the solid iron cuboidal block of dimensions

l = 4.4

b = 2.6

h = 1

m.
And radius and thickness of hollow cylindrical pipe are

r = 30

= \frac{30}{100} m

, and

b = 2.6

cm respectively.
Let the length of the hollow cylindrical pipe is

h ′

.
The external radius of hollow cylindrical pipe is,

R = r + t R = 30 + 5 R = 35 cm

R = \frac{35}{100} m

The volume of the hollow cylinder is given by,

V = π R 2 − r 2 h

.
Equating the volume of cuboid and the volume of hollow cylinder to obtain the height. length of the pipe. We get,

l b h = π R 2 − r 2 h ′ 4.4 m × 2.6 m × 1 m = π 35 m 100 2 − 30 m 100 2 h ′ 11.44 = π 0.0325 h ′ 11.44 = 3.14 × 0.0325 h ′

h ′ = 11.44 3.14 × 0.0325 h ′ = 112 m

The length of the pipe is 112 m.
Therefore, 2 is the correct option.

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!