Question

the square filed with 40m dug to a depth of 2.75 m .The removed sand is equally distributed to fill cuboidal and cylindrical pits.If the volumes and height of both pits are equal,find the areas of the pits.(height of cuboid pits =35m)​

Answer 1

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Class 10

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>>Surface Areas and Volumes

>>Conversion of Solid from One Shape to Another

>>A 20 m deep well with diameter 7 m is du

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A 20 m deep well with diameter 7 m is dug and the earth from digging is evenly spread out to form a platform 22 m by 14 m. Find the height of the platform.

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Solution

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The shape of the well is considered to be cylindrical as shown in the figure.

Given:

Depth (h) of well =20 m

Radius (r) of circular end of well =

2

7

m

Area of platform = Length x Breadth =22×14m

2

Assume height of the platform =H m

The volume of soil dug from the well will be equal to the volume of soil in platform.

Volume of soil from well = Volume of platform

⟹πr

2

h = Area of platform x Height of platform

π×(

2

7

)

2

×20=22×14×H

H=

7

22

×

4

49

×

22×14

20

H=

2

5

=2.5 m

Hence, the height of such a platform will be 2.5 m .