Answer:
Explanation:
The image attached shows the dimensions of the coffe cans considered for this question.
The figure is a cylinder with dimensions:
- [tex]\text {radius }3\frac{1}{16}\text {inches and height }6\frac{5}{8}\text {inches}[/tex]
Thus, to find the lateral surface of a coffe can, you use the formula for the lateral area of a cylinder:
- [tex]LA=2\pi\times r\times h[/tex]
Where, LA is the lateral area, r is the radius, and h is the height.
Substituting the dimensions given in the figure, you get:
- [tex]LA=2\pi\times 3\frac{1}{16}\times 6\frac{5}{8}[/tex]
To multiply, first convert the mixed numbers into improper fractions:
[tex]3\frac{1}{16}=3+\frac{1}{16}=\frac{3(16)+1}{16}=\frac{48+1}{16}=\frac{49}{16}\\ \\ 6\frac{5}{8}=6+\frac{5}{8}=\frac{6(8)+5}{8}=\frac{48+5}{8}=\frac{53}{8}[/tex]
Now, you can multiply:
- [tex]LA=2\pi\times \frac{49}{16}\times \frac{53}{8}[/tex]
