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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: Radius of well = 3.5 m, depth of well = 20 m

Dimensions of rectangular platform = 22 m x 14 m

Volume of earth dug out

10 surface area volume exercise solution

Area of top of platform = Area of Rectangle – Area of Circle

(because circular portion of mouth of well is open)

10 surface area volume exercise solution

Height = Volume/Area

10 surface area volume exercise solution

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