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.

Given

Diameter of cylinder = 7 m

Radius of cylinder (r)= 7/2m

Height of cylinder (h)= 20 m

Length of Cuboid (l) = 22 m

Breadth of Cuboid (b) =14 m

Find out

We have to find the the height of the platform (Cuboid).

Solution

Let Height of Cuboid = H

Volume of Cuboid = Volume of Cylinder 

l × b × H = πr^2h

22 × 14 × h = π × (7/2)² × 20

H = \(\frac{\frac{22}{7}\times\frac{7}{2}\times\frac{7}{2}\times 20}{22\times14}\)

H = 5/2 m

H = 2.5 m

Answer

Hence, the rheight of the platform = 2.5 m