Since the radius is 4, the area of the base is. To cancel out the, the height must be.

If the diameter of the cylinder is 4, the radius is equal to 2. Therefore:

The answer is. To find the surface area we need to find the area of the top, bottom, and the round side respectively. To find the areas of the top and bottom circles, you would need to use the formula.

Plug in 4 for, and you get, then multiply by 2 for 2 circles to get

Then to get the area of the round side, you would take the circumference times the height. Thus with the formula

you would get

To get your final answer, addandto get

Also you could remember the formula

and plug inand.

The surface area of the whole cylinder = (2 * area of circle) + lateral area

Think of the lateral area as the paper label on a can; It wraps around the outside of the can while leaving the top and bottom untouched. The area of the circle, times 2, is to account for the top and the bottom of the cylinder.

Area of a circle =

So the area of the circle =, and since there are two circles we have

Now for the lateral area. Notice how if we have a can with a paper label, we can take the label, cut it, and unroll it from the can. In this way, our label now looks like a rectangle with a

height = height and the

width = circumference of the circle.

Circumference =

So our rectangle is going to have a height of 10 and a width of 10. So the lateral area =

So the total surface area =

The formula to find the surface area of a cylinder is, whereis the height of the cylinder andis the radius.

In this kind of equation-based problem, it's helpful to ask "What information do I have?" and "What information is missing that I need?"

The problem provides information for thecomponent of the equation, but not for thecomponent. Instead, we're given information about the circumference of the circular base of the cylinder. The question that arises now is how the radius can be calculated from the circumference. The formula for circumference is:, where是直径。半径可以通过公顷计算lf of the diameter. This means that radius and circumference are related in terms of.

Therefore, the first step for this problem is to solve for.

Because the diameter is, that means that the radius must be.

Now the surface area can be solved for after theandvalues are substituted into the equation.

To find the surface area of the cylinder, first find the areas of the bases:

Next, find the lateral surface area, which is a rectangle:

Add the two together to get the equation to find the surface area of a cylinder:

Plug in the given height and radius to find the surface area.

Make sure to round toplaces after the decimal point.

To find the surface area of the cylinder, first find the areas of the bases:

Next, find the lateral surface area, which is a rectangle:

Add the two together to get the equation to find the surface area of a cylinder:

Plug in the given height and radius to find the surface area.

Make sure to round toplaces after the decimal point.

To find the surface area of the cylinder, first find the areas of the bases:

Next, find the lateral surface area, which is a rectangle:

Add the two together to get the equation to find the surface area of a cylinder:

Plug in the given height and radius to find the surface area.

Make sure to round toplaces after the decimal point.

To find the surface area of the cylinder, first find the areas of the bases:

Next, find the lateral surface area, which is a rectangle:

Add the two together to get the equation to find the surface area of a cylinder:

Plug in the given height and radius to find the surface area.

Make sure to round toplaces after the decimal point.

To find the surface area of the cylinder, first find the areas of the bases:

Next, find the lateral surface area, which is a rectangle:

Add the two together to get the equation to find the surface area of a cylinder:

Plug in the given height and radius to find the surface area.

Make sure to round toplaces after the decimal point.