wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If a well of height 20 m and diameter 7 m is dug out and the sand extracted from it is used to make a cuboid platform of length 14 m, breadth 22 m, then what is the height of the platform?

A
10 m
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1 m
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2.5 m
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
3.5 m
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 2.5 m
Given, diameter of well = 7 m
Radius of well = 3.5 m
Height of the well = 20 m
Volume of cylinder =πr2h =π×3.52×20

Given, cuboid of length = 14 m, breadth = 22 m
Let, height be h m.
Volume of cuboid =l×b×h =14×22×h

The volume of mud extracted from the well is used to make the platform.
Volume of platform (cuboid) = volume of well (cylinder)
14×22×h=π×3.52×20h=2.5m

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Volume of Solids
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon