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Jim has identical drinking glasses, each in the shape of a right circular cylinder with an internal diameter of 3 inches. He pours milk from a gallon jug into each glass until it is full. If the height of milk in each glass is about 6 inches, what is the largest number of full milk glasses that he can pour from one gallon of milk? (Note: There are 231 cubic inches in 1 gallon.)

A) 2
B) 4
C) 5
D) 6

Answer :

The largest number of full milk glasses that he can pour from one gallon of milk is (C) 5.

What is a cylinder?

  • Traditionally, a cylinder was a three-dimensional solid, one of the most fundamental curvilinear geometric shapes.
  • It has been described geometrically as a prism with a circle as its base.
  • This traditional viewpoint is still used in elementary geometry treatments, but the advanced mathematical viewpoint has shifted to the infinite curvilinear surface, which is now how a cylinder is defined in various modern branches of geometry and topology.

To find the largest number of full milk glasses that he can pour from one gallon of milk:

  • The right circular cylinder's volume is V = [tex]\pi[/tex]r²h.
  • Because the radius of the right circular cylinder is half its diameter, if the diameter is 3 inches, the radius will be /32 inches.
  • It is also stated that the height of the milk in each glass is 6 inches. As a result, the total amount of milk in each glass is as follows:
  • [tex]\pi[/tex] × (3/2 inches)² × (6 inches) = 42.39in³
  • The number of glasses that can be poured from one gallon of milk is:
  • 231in³/42.39in³ = 5.45 glasses approximately.

Therefore, the largest number of full milk glasses that he can pour from one gallon of milk is (C) 5.

Know more about a cylinder here:

https://brainly.com/question/23935577

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