Q. 34.1( 243 Votes )

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.

Answer :

The diagram for the situation is as follows:


As per the question,

The shape of the well will be cylindrical


Depth (h) of well = 20 m


Radius (r) of circular end of well =


Area of platform = Length × Breadth = 22 × 14 m2


Let height of the platform = H


Volume of soil dug from the well would be equal to the volume of soil that is scattered on the platform.


Volume of soil from well = Volume of soil used to make such platform


πr2h = Area × Height


π × ()2 × 20 = 22 × 14 × H


H = ×  × 


= 2.5 m


Hence, the height of the platform = 2.5 m

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Surface Area and VolumesSurface Area and VolumesSurface Area and Volumes43 mins
RD Sharma | Imp Concepts : Surface Area And VolumesRD Sharma | Imp Concepts : Surface Area And VolumesRD Sharma | Imp Concepts : Surface Area And Volumes43 mins
RD Sharma | Surface Area And VolumesRD Sharma | Surface Area And VolumesRD Sharma | Surface Area And Volumes43 mins
IMP Formula's and Qs For Surface Area and VolumesIMP Formula's and Qs For Surface Area and VolumesIMP Formula's and Qs For Surface Area and Volumes45 mins
RD Sharma | Imp. Qs. From Surface Area And VolumesRD Sharma | Imp. Qs. From Surface Area And VolumesRD Sharma | Imp. Qs. From Surface Area And Volumes47 mins
Quiz | Surface Area and VolumesQuiz | Surface Area and VolumesQuiz | Surface Area and Volumes42 mins
Surface Area and VolumeSurface Area and VolumeSurface Area and Volume49 mins
Areas Related to CircleAreas Related to CircleAreas Related to Circle36 mins
Quiz | Areas Related to CirclesQuiz | Areas Related to CirclesQuiz | Areas Related to Circles43 mins
Foundation | Let's Understand Some High Level ConceptsFoundation | Let's Understand Some High Level ConceptsFoundation | Let's Understand Some High Level Concepts41 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses