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)

Question

Responses

471 inches

314 square inches

471 square inches

345.4 square inches

Answer 1

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

\[ \text{Surface Area} = 2\pi r(h + r) \]

where \( r \) is the radius and \( h \) is the height of the cylinder.

Given:

• Radius (\( r \)) = 5 inches
• Height (\( h \)) = 10 inches
• \( \pi \approx 3.14 \)

Now, plug in the values into the formula:

\[ \text{Surface Area} = 2 \times 3.14 \times 5 \times (10 + 5) \]

First, calculate \( (10 + 5) \):

\[ 10 + 5 = 15 \]

Now, substitute that back into the formula:

\[ \text{Surface Area} = 2 \times 3.14 \times 5 \times 15 \]

Now calculate \( 2 \times 3.14 \):

\[ 2 \times 3.14 = 6.28 \]

Next, calculate \( 6.28 \times 5 \):

\[ 6.28 \times 5 = 31.4 \]

Now, calculate \( 31.4 \times 15 \):

\[ 31.4 \times 15 = 471 \]

So, the surface area of the cylinder is:

\[ \boxed{471} \text{ square inches} \]