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 inches 471 inches 471 square inches 471 square inches 314 square inches 314 square inches 345.4 square inches

Answer 1

The surface area \( S \) of a cylinder can be calculated using the formula:

\[ S = 2\pi r(h + r) \]

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, let's substitute the values into the formula:

\[ S = 2 \cdot 3.14 \cdot 5 \cdot (10 + 5) \]

Calculating the part inside the parentheses:

\[ 10 + 5 = 15 \]

Now substitute that back into the surface area formula:

\[ S = 2 \cdot 3.14 \cdot 5 \cdot 15 \]

Calculating \( 2 \cdot 3.14 \):

\[ 2 \cdot 3.14 = 6.28 \]

Now multiply \( 6.28 \), \( 5 \), and \( 15 \):

\[ S = 6.28 \cdot 5 \cdot 15 \]

First calculate \( 6.28 \cdot 5 \):

\[ 6.28 \cdot 5 = 31.4 \]

Now multiply that by \( 15 \):

\[ S = 31.4 \cdot 15 = 471 \]

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

The correct response is 471 square inches.