Question

Earth is dug out of a deapth of 15meter to make a circular pond of diameter 14 meter.The earth is earht is evenly spread out beside it in the shape of a rectangular platform of dimensions 15 meter×10meter×hm.If'h'is the height of the platform,from the height of rhe platform

Answer 1

Here is your answer :

Depth,H = 15 metre

Diameter = 14 metre

So,radius = d / 2 = 14 / 2 = 7 metre

Volume of earth dug out (cylinder) = π r² h

= 22/7*(7)² * 15

= 22/7 * 49 * 15

= 22*7*15 m³

Volume of rectangular platform

=l*b*h

= 15 * 10 * h m³

Now,

vol. of rectangular platform=Vol. of earth dug out

15*10*h = 22*7*15

10*h = 22*7

h = 154/10

h = 15.4 m

So,the height of rhe platform

= 15.4 metre