Question
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, how much soup the hospital has to prepare daily to serve 250 patients?
Hint:
We calculate the volume of soup; hospital has to give to a single patient daily. Then we multiply that volume with the number of patients to get the total amount of soup.
The correct answer is: Hospital has to prepare 38500 cm3 soup daily to serve 250 patients.
Explanations:
Step 1 of 3:
Hospital gives soup in a cylindrical bowl of diameter 7 cm. Then, the radius of the bowl is 3.5 cm(= r).
The bowl is filled with soup to a height of 4 cm(= h).
Step 2 of 3:
The volume of soup given to a single patient is
Step 3 of 3:
The total volume of soup; hospital has to prepare daily for serving 250 patients, is 154250 = 38500 cm3
Final Answer:
Hospital has to prepare 38500 cm3 soup daily to serve 250 patients.
Related Questions to study
The sum of 3 consecutive natural numbers is 75. Find the numbers.
The sum of 3 consecutive natural numbers is 75. Find the numbers.
Find three consecutive even numbers whose sum is 312.
Find three consecutive even numbers whose sum is 312.
![](data:image/png;base64,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)
Triangles ABC and DEF above are similar. How much longer than segment EF is segment DE ?
Note:
There are three ways to prove that two triangles are similar- AAA,
SAS, SSS.
AAA means that the corresponding angles are equal,
SAS means two sides of the triangles are in equal ratio and the angles between these two sides are equal,
SSS means that all three corresponding sides have equal ratio
![](data:image/png;base64,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)
Triangles ABC and DEF above are similar. How much longer than segment EF is segment DE ?
Note:
There are three ways to prove that two triangles are similar- AAA,
SAS, SSS.
AAA means that the corresponding angles are equal,
SAS means two sides of the triangles are in equal ratio and the angles between these two sides are equal,
SSS means that all three corresponding sides have equal ratio
A lead pencil consists of a cylinder of wood with a solid cylinder of graphite filled in the interior. The diameter of the pencil is 7 mm, and the diameter of the graphite is 1 mm. If the length of the pencil is 14 cm, Find the volume of the wood and that of the graphite?
A lead pencil consists of a cylinder of wood with a solid cylinder of graphite filled in the interior. The diameter of the pencil is 7 mm, and the diameter of the graphite is 1 mm. If the length of the pencil is 14 cm, Find the volume of the wood and that of the graphite?
The load capacity of a certain washing machine is 12 pounds. What is the approximate load capacity of the same washing machine, in kilograms?
( 1 kilogram = 2.2046 pounds)
Note:
There are many other units of weight such as ton, ounce, gram, stone, grain, milligram, etc. There is conversion formula for each of these pairs, for eg.
1 kilogram = 35.27 ounce= 0.16 stone= 1000 gram
1 pound= 16 ounce= 0.07 stone= 435.60 gram
The load capacity of a certain washing machine is 12 pounds. What is the approximate load capacity of the same washing machine, in kilograms?
( 1 kilogram = 2.2046 pounds)
Note:
There are many other units of weight such as ton, ounce, gram, stone, grain, milligram, etc. There is conversion formula for each of these pairs, for eg.
1 kilogram = 35.27 ounce= 0.16 stone= 1000 gram
1 pound= 16 ounce= 0.07 stone= 435.60 gram