Question

Jim has identical drinking glasses each in the shape of a right circular cylinder with internal diameter of $3inches$. He pours milk from a gallon jug into each glass until it is full. If the height of milk in each glass is about $6inches,$ 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 1

Answer: (C)

$5$

The volume of the right circular cylinder is $V=\pi r^{2}h$.

Since the radius of the right circular cylinder is half of its diameter, therefore if the diameter is $3$ inches then the radius will be $\frac{3}{2}$ inches.

Also it is given that the height of milk in each glass is $6$ inches. Hence, the total volume of milk in each glass is as follows:

$\pi \times {\left(\frac{3}{2}inches\right)}^2\times \left(6inches\right)=42.39i{n}^3$

Number of possible glasses that could be poured from one gallon of milk is:

$\frac{\left(231i{n}^3\right)}{\left(42.39i{n}^3\right)}=5.45$ glasses approximately.