Question

A well of depth 25 m with a radius 4 m is dug from the earth forming a platform of length 28 m and a breadth of 16 m. Find the height of the platform.

(a) 2.8 m^3

(b) 5 m^3

(c) 5.4 m^3

(d) 7.2 m^3

I have been asked this question in homework.

My question is taken from Conversion of Solid from One Shape to Another in portion Surface Area and Volumes of Mathematics – Class 10

Answer 1

Correct option is (a) 2.8 m^3

Easy explanation: Volume of the well = volume of the platform

πr^2h = lbh

3.14 × 4^2 × 25 = 28 × 16 × h

h = 2.8 m^3