JIPMAT 2023 (QA) - <p>A 30 meter deep well, with a diameter of 7 meters is dug and the earth from digging is evenly spread out to form a platform of size 22 meters by 14 meters. The height of the platform is:</p> | PYQs + Solutions

JIPMAT 2023

Geometry

Solids

Easy

A 30 meter deep well, with a diameter of 7 meters is dug and the earth from digging is evenly spread out to form a platform of size 22 meters by 14 meters. The height of the platform is:

3.5 meter

3.75 meter

2.5 meter

3 meter

Correct Option: 2

Volume of earth from well = Volume of platform

Well volume =

πr^2h

= π × (\frac{7}{2})^2 × 30

= \frac{49π}{4} × 30

= 1155.75

cubic meters

Platform volume =

l × w × h

= 22 × 14 × h

= 308h

cubic meters

Equating:

\newline

1155.75 = 308h

h = \frac{1155.75}{308}

h = 3.75

meters