Complete the statements below to describe how to find the surface area of a cylinder.

A cylinder with radius r and height h.
The formula for the ____ of a circle is πr2
A. Area
B. Circumference
C. Diameter
.

11 answers

A. Area

To find the surface area of a cylinder, we need to calculate the areas of the two circular bases and the lateral surface area of the cylinder.

1. The area of the circular base can be calculated using the formula for the area of a circle, which is πr^2.

2. Since a cylinder has two circular bases, we need to calculate the total area of both bases by multiplying the area of one base by 2.

3. The lateral surface area of a cylinder can be found by calculating the circumference of one of the circular bases (2πr) and multiplying it by the height of the cylinder (h).

4. Add the areas of the two bases and the lateral surface area to find the total surface area of the cylinder.

Therefore, the formula for the area of a cylinder is:
Total Surface Area = 2(πr^2) + 2πrh
The formula for the area of a circle is πr2.
To find the total area of the bases, ____
A. Multiply
B. Divide
A. Multiply

To find the total area of the bases of a cylinder, you need to calculate the area of one circular base and then multiply it by 2 since there are two bases on a cylinder.
The formula for the area of a circle is πr2.
To find the total area of the bases, multiply that value by ____
A. 1
B. 2
C. 3
D. 4
.
B. 2

To find the total area of the bases of a cylinder, you calculate the area of one circular base using the formula for the area of a circle, which is πr^2, and then multiply that value by 2 since there are two bases on a cylinder.
The formula for the ___ of a circle is 2πr.
A. Area
B. Circumference
C. Diameter

To find the area of the curved surface, ____
A. Multiply
B. Divide

that value by the ___ of the cylinder.
A. Height
B. Width
C. Circumference
B. Circumference

To find the area of the curved surface of a cylinder, you need to calculate the circumference of one of the circular bases, which is 2πr, and multiply that value by the height of the cylinder.

Therefore, the complete statement would be:
The formula for the circumference of a circle is 2πr.
To find the area of the curved surface, multiply that value by the height of the cylinder.
The formula for the ___ of a circle is 2πr.
A. Area
B. Circumference
C. Diameter
B. Circumference

The formula for the circumference of a circle is 2πr.
To find the area of the curved surface, ____
A. Multiply
B. Divide
A. Multiply

To find the area of the curved surface of a cylinder, you need to multiply the circumference of one of the circular bases (2πr) by the height of the cylinder.
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