3. 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.

Answers (1)

According to the question, the volume of soil dug will be equal to the volume of the platform created.

Thus we can write :  

The volume of soil dug = Volume of platform

    \\\Rightarrow \pi r^2h\ =\ Area\times h\\\\\Rightarrow \pi \times \left ( \frac{7}{2} \right )^2\times 20\ =\ 22\times 14 \times h\\\\\Rightarrow h\ =\ \frac{5}{2}\ m

Thus the height of the platform created is 2.5 m.

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