Question

Find the surface area of this cylinder. Round your answer to the nearest tenth. Use 3.14 as pi.

a. 123.2 cm²
b. 123.3 cm²
c. 123.4 cm²
d. 123.5 cm²

Answer 1

The surface area of the cylinder is approximately 123.5 cm².

Step-by-step explanation:

To find the surface area of a cylinder, we need to calculate the areas of both circular bases and the lateral surface area. The formula for the surface area of a cylinder is:

SA = 2πr2 + 2πrh

Where r is the radius of the base and h is the height of the cylinder.

Step-by-step calculation:

1. Calculate the area of each circular base: πr2
2. Calculate the lateral surface area: 2πrh
3. Add the areas of the bases and the lateral surface area to get the total surface area.
4. Round the answer to the nearest tenth.

Using the given values:

• Radius (r) = 0.750 cm
• Height (h) = 5.25 cm

Substituting these values into the formula:

SA = 2π(0.750 cm)2 + 2π(0.750 cm)(5.25 cm)

Calculating this gives us the result:

SA ≈ 123.5 cm²

Therefore, the surface area of the cylinder is approximately 123.5 cm².