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Solution - A 16m deep well with diameter 3.5m is dug up and the earth from it is spread evenly to form a platform 27.5m by 7m. Find height of platform? - CBSE Class 10 - Mathematics

Question

A 16m deep well with diameter 3.5m is dug up and the earth from it is spread evenly to form a platform 27.5m by 7m. Find height of platform?

Solution

Let as assume well is a solid right circular cylinder

us of cylinder(r) = 3.5/2 = 1.75m

Height (or) depth of well = 16m.

Volume of right circular cylinder = πr2h

= `22/7` x (1.75)2 X 16            .............(1)

Given that length of platform(l) = 27.5m

Breath of platform (b) = 7cm

Let height of platform be xm

Volume of rec tan gle = lbh

= 27.5 x 7 x `x`= 192.5`x`         ..........(2)

Since well is spread evenly to form platform

So equating (1) and (2)

V1V2

⇒` 22/7`(1.75)x 16 = 192.5`x` 

⇒ `x`= 0.8m

∴ Height of platform(h) = 80cm.

 

  Is there an error in this question or solution?

APPEARS IN

 R.D. Sharma 10 Mathematics (with solutions)
Chapter 16: Surface Areas and Volumes
Q: 10

Reference Material

Solution for question: A 16m deep well with diameter 3.5m is dug up and the earth from it is spread evenly to form a platform 27.5m by 7m. Find height of platform? concept: Volume of a Combination of Solids. For the course CBSE
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