MATH SOLVE

3 months ago

Q:
# 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?

Accepted Solution

A:

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.[tex]\text{Volume of cylinder}=\pi r^2h[/tex], 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.[tex]\text{Radius}=\frac{2\text{ inches}}{2}[/tex][tex]\text{Radius}=1\text{ inch}[/tex]Upon substituting our given values in volume formula we will get,[tex]\text{Volume of can}=\pi*\text{(1 inch)}^2*\text{6 inch}[/tex] [tex]\text{Volume of can}=3.14*\text{(1 inch)}^2*\text{6 inch}[/tex] [tex]\text{Volume of can}=18.84\text{ inch}^3[/tex] 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.[tex]\text{Volume of 6 cans}=6\times 18.84\text{ inch}^3[/tex] [tex]\text{Volume of 6 cans}=113.04\text{ inch}^3[/tex] Therefore, 6 cans of soft drink contain 113.04 cubic inches of drink.