A patient in a hospital is given soup in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm,[[1]] cubic centimeter soup the hospital has prepared daily to serve 250 patients.

Question

A patient in a hospital is given soup in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm,[[1]] cubic centimeter soup the hospital has prepared daily to serve 250 patients.

Accepted Answer

Concept: If the bowl is filled with soup to a height of 4 cm, 38500 cubic centimeter soup the hospital has prepared daily to serve 250 patients.
Use the idea that the quantity given to each patient is the volume of the cylindrical bowl, which is given as (

), where symbols have their usual meaning, to arrive at the answer to the particular type of question.
Given,
Every patient in the hospital receives soup in a cylindrical bowl.
The bowl's height (h) is equal to 4 cm, while its diameter (D) is equal to 7 cm.
Question Image

Now that we are aware that the diameter (D) and the radius (r) are proportional, we have,

Now when the cylindrical bowl is full with soup, the volume of the bowl has been reached. Now that we are aware that the volume (V) of a cylindrical bowl equals

, where r denotes the bowl's radius and h its height, Consequently, the bowl's volume is,
Question Image

We now need to figure out how much soup the hospital needs to cook to serve 250 people. The cylindrical bowl's volume multiplied by the number of patients results in the amount of soup that is prepared. The quantity of soup made is therefore

Hence, the correct answer is 38500 cubic centimeters.

A patient in a hospital is given soup in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm,[[1]] cubic centimeter soup the hospital has prepared daily to serve 250 patients.

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