Question

Question 1(Multiple Choice Worth 2 points)

(Surface Area of Cylinders LC)

Which of the following shows a correct method to calculate the surface area of the cylinder?

cylinder with diameter labeled 3.2 feet and height labeled 3.8 feet

SA = 2π(1.6)2 + 3.2π(3.8) square feet
SA = 2π(1.6)2 + 1.6π(3.8) square feet
SA = 2π(3.2)2 + 3.2π(3.8) square feet
SA = 2π(3.2)2 + 1.6π(3.8) square feet
Question 2(Multiple Choice Worth 2 points)
(Surface Area of Cylinders MC)

Ice cream is packaged in cylindrical gallon tubs. A tub of ice cream has a total surface area of 232.36 square inches.

If the diameter of the tub is 8 inches, what is its height? Use π = 3.14.

6.75 inches
5.25 inches
3.375 inches
2.625 inches
Question 3(Multiple Choice Worth 2 points)
(Surface Area of Cylinders MC)

The net for a cylindrical candy container is shown.

net of a cylinder with diameter of both circles labeled 1.8 inches and a rectangle with a height labeled 0.8 inches

The container was covered in plastic wrap during manufacturing. How many square inches of plastic wrap were used to wrap the container? Write the answer in terms of π.

7.92π square inches
7.2π square inches
3.06π square inches
2.34π square inches
Question 4(Multiple Choice Worth 2 points)
(Surface Area of Cylinders MC)

Determine the surface area of the cylinder. (Use π = 3.14)

net of a cylinder where radius of base is labeled 5 inches and a rectangle with a height labeled 4 inches

157 in2
219.8 in2
282.6 in2
314 in2
Question 5(Multiple Choice Worth 2 points)
(Surface Area of Cylinders MC)

Bisecting Bakery sells cylindrical round cakes. The most popular cake at the bakery is the red velvet cake. It has a radius of 17 centimeters and a height of 13 centimeters.

If everything but the circular bottom of the cake was iced, how many square centimeters of icing is needed for one cake? Use 3.14 for π and round to the nearest square centimeter.

3,203 cm2
2,295 cm2
1,020 cm2
731 cm2
Question 6(Multiple Choice Worth 2 points)
(Surface Area of Cylinders MC)

Determine the exact surface area of the cylinder in terms of π.

cylinder with radius labeled 1 and three fourths centimeters and a height labeled 3 and one fourth centimeters

30 and three sixteenths times pi square centimeters
35 and seven eighths times pi square centimeters
11 and thirteen sixteenths times pi square centimeters
17 and one half times pi square centimeters
Question 7(Multiple Choice Worth 2 points)
(Surface Area of Cylinders MC)

A deli is trying out new labels for their cylindrical-shaped wheels of cheese. The label covers the entire wheel except the circular top and bottom.

If the wheel has a radius of 30 centimeters and a height of 20 centimeters, how many square centimeters of the wheel does the label cover? (Approximate using pi equals 22 over 7)

792,000 over 7 square centimeters
66,000 over 7 square centimeters
26,400 over 7 square centimeters
2,640 over 7 square centimeters

Answer 1

Question 1:

The correct method to calculate the surface area of the cylinder is:

SA = 2π(1.6)2 + 3.2π(3.8) square feet

Answer: A

Question 2:

We can use the formula for the surface area of a cylinder, which is:

SA = 2πr(r + h)

where r is the radius and h is the height of the cylinder.

We are given that the diameter of the tub is 8 inches, which means the radius is 4 inches.

We know that the total surface area of the tub is 232.36 square inches.

So we can substitute the values in the formula and solve for h:

232.36 = 2 × 3.14 × 4(4 + h)
h = 3.375 inches

Answer: C

Question 3:

The surface area of the cylinder consists of the area of the two circular ends and the lateral surface area.

The area of each circular end is given by:

πr2

where r is the radius of the cylinder.

We are given that the diameter of each circular end is 1.8 inches, which means the radius is 0.9 inches.

The lateral surface area is given by:

2πrh

where h is the height of the cylinder.

We are given that the height of the rectangular portion is 0.8 inches.

So we can find the height of the cylinder as:

h = 1.8 - 0.8 = 1 inch

The total surface area is the sum of the area of the two circular ends and the lateral surface area:

2π(0.9)2 + 2π(0.9)(1) = 2.34π square inches

Answer: D

Question 4:

The surface area of the cylinder consists of the area of the two circular ends and the lateral surface area.

The area of each circular end is given by:

πr2

where r is the radius of the cylinder.

We are given that the radius is 5 inches.

The lateral surface area is given by:

2πrh

where h is the height of the cylinder.

We are given that the height of the rectangular portion is 4 inches.

So we can find the height of the cylinder as:

h = 4 / 2π(5) = 0.128 inches

The total surface area is the sum of the area of the two circular ends and the lateral surface area:

2π(5)2 + 2π(5)(0.128) = 314 in2

Answer: D

Question 5:

The lateral surface area of the cake is the area of the curved surface of the cylinder.

The lateral surface area is given by:

2πrh

where r is the radius of the cake and h is the height of the cake.

We are given that the radius is 17 centimeters and the height is 13 centimeters.

So we can substitute the values and find the lateral surface area:

2 × 3.14 × 17 × 13 ≈ 1,020 cm2

Answer: C

Question 6:

The surface area of the cylinder consists of the area of the two circular ends and the lateral surface area.

The area of each circular end is given by:

πr2

where r is the radius of the cylinder.

We are given that the radius is 1 and three fourths centimeters, which can be written as 7/4 cm.

The lateral surface area is given by:

2πrh

where h is the height of the cylinder.

We are given that the height is 3 and one fourth cent