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

Answer:

113.04 cubic inches.

Step-by-step 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.

$\text{Volume of 6 cans}=6\times 18.84\text{ inch}^3$

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

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