Question

A well dug 20 m deep and it has a diameter 7 m. The earth which is so dug out is spread evenly on a rectangular plot 22 m long and 14 m broad. What is the height of platform formed?

Answer 1

first you find volume of well after that in the formula of volume of rectangles place all the value and find height
note:in the place of volume of rectangles place volume of well

Answer 2

Answer: The height of the platform is 2.5 m

Step-by-step explanation:

We are given a well which is dug and it is evenly spread out on a rectangular plot. So, to calculate the height of the platform, we will compare the volume of well and the platform.

A well is in the shape of right circular cylinder.

Volume of right circular cylinder = Volume of rectangular plot

$\pi r^2h=lbh$

where,

$\pi=\frac{22}{7}$

r = radius of the cylinder = $\frac{d}{2}=\frac{7}{2}m$

h = height of the cylinder = 20 m

l = length of the rectangular plot = 22 m

b = breadth of the rectangular plot = 14 m

h = height of the rectangular plot = ? m

Putting values in above equation, we get:

$\frac{22}{7}\times \frac{7}{2}\times \frac{7}{2}\times 20=22\times 14\times h\\\\h=\frac{5}{2}=2.5m$

Hence, the height of the platform is 2.5 m