To express the height as a function of the volume and the radius, we are going to use the volume formula for a cylinder:

where

is the volume

is the radius

is the height
We know for our problem that the cylindrical can is to contain 500cm^3 when full, so the volume of our cylinder is 500cm^3. In other words:

. We also know that the radius is r cm and height is h cm, so

and

. Lets replace the values in our formula:





Next, we are going to use the formula for the area of a cylinder:

where

is the area

is the radius

is the height
We know from our previous calculation that

, so lets replace that value in our area formula:



By the commutative property of addition, we can conclude that:
Answer:
1. 70
2. 65
3. 115
4. 65
5. 65
6. 65
7. 65
Step-by-step explanation:
All of them are correct so dont worry
Have a nice day
Most likely ill go with option c
Find the area of two sides (Length*Height)*2 sides.
Find the area of adjacent sides (Width*Height)*2 sides.
Find the area of ends (Length*Width)*2 ends.
Add the three areas together to find the surface area.
Example: The surface area of a rectangular prism 5 cm long, 3 cm. Hope this helps?!