Q. 24.6( 5 Votes )

A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm, then find the quantity of soup to be prepared daily in the hospital to serve 250 patients?

Answer :

GIVEN : diameter of cylindrical bowl = 7cm


Radius of cylinder “r” = 3.5cm


Height upto which the soup is filled “h” = 4cm


No. of patients daily = 250


we take π =


TO FIND : quantity of soup to be prepared daily in the hospital to serve 250 patients = ?


PROCEDURE :


Volume of a cylindrical bowl “V” = π r2h


Putting the values in the above formula, we get


V = × (3.5)2 × 4


V = ×3.5× 3.5× 4


= ×3.5×4


= 22× 3.5× 2


= 154cm3


∴ volume of 1 bowl = 154cm3


⇒ volume of 250 bowls = 250 × 154cm3 = 38500cm3


Quantity of soup in the 250 bowls = 38500 × litres


{∵ 1litre = 1000cm3)


Quantity of soup in the 250 bowls = litres = 38.5 litres.


∴ Quantity of soup in the 250 bowls is 38.5 litres.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
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