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.

Question

1. 345.4 square inches
2. 471 inches
3. 314 square inches
4. 471 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.

Given:

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

Now, substitute the values into the formula:

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

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 perform the multiplications step by step:

1. Calculate \( 2 \times 3.14 = 6.28 \)
2. Calculate \( 6.28 \times 5 = 31.4 \)
3. Finally, calculate \( 31.4 \times 15 = 471 \)

Thus, the surface area of the cylinder is \( 471 \) square inches.

The correct answer is: 4. 471 square inches.