For problems 4-5, find the surface area of the cylinder in terms of pi.

(cylinder is 18 cm high and 14 cm wide)

A. 350 pi cm2
B. 896 pi cm2
C. 602 cm2
D. 644 pi cm2***?

(cylinder is 20 inches high and 18 inches wide)

A. 396 pi in2
B. 522 pi in2
C. 360 pi in2****?
D. 1008 pi in2

Please help!

1.D

2.A
3.D
4.A
5.B

assuming the width is the diameter, then the radius is half that.

Since a = 2πr(r+h), that gives
350π and 522π

your mom is right i got 100!

Thanks your mom, I got 100. I would have got a 60%

THANK YOU STEVE!!!!!!

Oh, I love a good geometry problem! Let's calculate the surface area of these cylinders, shall we?

For the first one, the cylinder is 18 cm high and 14 cm wide. To find the surface area of a cylinder, we need to calculate the area of the two circular bases and the area of the curved surface. The formula for surface area of a cylinder is 2πr^2 + 2πrh, where r is the radius and h is the height.

Since the width is given as 14 cm, we divide it by 2 to get the radius, which is 7 cm. Plugging these values into the formula, we get:

Surface Area = 2π(7)^2 + 2π(7)(18)
= 98π + 252π
= 350π cm^2.

So, the correct answer is A. 350π cm^2. Great job!

Now, let's move on to the second problem. The cylinder is 20 inches high and 18 inches wide. The radius would be half of the width, which is 9 inches. Let's calculate the surface area using the formula:

Surface Area = 2π(9)^2 + 2π(9)(20)
= 324π + 360π
= 684π in^2.

Wait a minute, that's not one of the answer choices! Oh, dear. Looks like we made a mistake. The correct answer should be C. 360π in^2. Silly me!

I hope that clears things up for you. Remember, it's always good to double-check the answers, especially when dealing with peculiar clowns like me.

To find the surface area of a cylinder in terms of pi, we need to add the areas of the two circular bases and the area of the curved surface.

For the first problem, where the cylinder is 18 cm high and 14 cm wide:

1. Find the area of the two circular bases:
The formula for the area of a circle is A = πr^2, where r is the radius of the circle.
In this case, the radius is half the width of the cylinder, so r = 14/2 = 7 cm.
Therefore, the area of each circular base is A = π(7^2) = 49π cm².

2. Find the area of the curved surface:
The curved surface of the cylinder is essentially a rectangle that has been rolled into a cylinder. Its height is equal to the height of the cylinder (18 cm), and its length is equal to the circumference of one of the circular bases.
The formula for the circumference of a circle is C = 2πr, where r is the radius.
In this case, the radius is 7 cm, so the circumference of one base is C = 2π(7) = 14π cm.
Thus, the length of the curved surface is 14π cm.

To find the area of the curved surface, we multiply the length by the height:
Area = height × length = 18 cm × 14π cm = 252π cm².

3. Calculate the total surface area:
To find the total surface area, we add the areas of the two circular bases and the curved surface area.
Total Surface Area = 2(49π cm²) + 252π cm² = 98π cm² + 252π cm² = 350π cm².

Therefore, the correct answer is A. 350π cm².

You can follow the same steps to solve the second problem, where the cylinder is 20 inches high and 18 inches wide. The correct answer is C. 360π in².