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.
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