Question

Soft drinks are sold in aluminum cans that measure 6 inches in height and 2 inches in diameter. How many cubic inches of drink are contained in 6 full cans?How many cubic inches of drink are in 6 full cans?

Answer 1

113.04 cubic inches.

Explanation:

We have been given that soft drinks are sold in aluminum cans that measure 6 inches in height and 2 inches in diameter.

To find the amount of drink contained in 6 cans, we will find the volume of 1 can using volume of cylinder formula.

`\text{Volume of cylinder}=\pi r^2h`, where,

r = Radius of cylinder,

h = Height of cylinder.

First of let us divide diameter of given cylinder by 2 to get the radius of our cylinder as diameter is 2 times the radius.

`\text{Radius}=\frac{2\text{ inches}}{2}`

`\text{Radius}=1\text{ inch}`

Upon substituting our given values in volume formula we will get,

`\text{Volume of can}=\pi*\text{(1 inch)}^2*\text{6 inch}`

`\text{Volume of can}=3.14*\text{(1 inch)}^2*\text{6 inch}`

`\text{Volume of can}=18.84\text{ inch}^3`

Therefore, one can of soft drink contains 18.84 cubic inches of drink.

To find the amount of drink contained in 6 cans we will multiply volume of 1 can by 6.

`\text{Volume of 6 cans}=6* 18.84\text{ inch}^3`

`\text{Volume of 6 cans}=113.04\text{ inch}^3`

Therefore, 6 cans of soft drink contain 113.04 cubic inches of drink.