Find the surface area of a cylinder with a radius of 5 inches and a height of 10 inches. Use the approximation 3.14 for pi.(1 point) Responses 471 square inches 471 square inches 345.4 square inches 345.4 square inches 314 square inches 314 square inches 471 inches

Answer 1

To find the surface area of a cylinder, you can use the formula:

\[ \text{Surface Area} = 2\pi r^2 + 2\pi rh \]

where:

• \( r \) is the radius of the cylinder,
• \( h \) is the height of the cylinder,
• \( \pi \) is approximately 3.14.

Given:

• Radius \( r = 5 \) inches,
• Height \( h = 10 \) inches.

Now, we can calculate:

1. Calculate the area of the two circular bases:

\[ \text{Area of bases} = 2\pi r^2 = 2 \times 3.14 \times (5^2) = 2 \times 3.14 \times 25 = 157 \text{ square inches} \]

2. Calculate the area of the curved surface:

\[ \text{Curved Surface Area} = 2\pi rh = 2 \times 3.14 \times 5 \times 10 = 2 \times 3.14 \times 50 = 314 \text{ square inches} \]

3. Now, add both areas together to get the total surface area:

\[ \text{Total Surface Area} = \text{Area of bases} + \text{Curved Surface Area} = 157 + 314 = 471 \text{ square inches} \]

Therefore, the surface area of the cylinder is 471 square inches.