Surface area of a cylinder with a radius of five inches and a height of 10 inches use the approximation 3.14 for Pi

Three hundred and fourteen square inches
three four five point four square inches
Four hundred and seventy one inches
Four hundred and seventy one square inches

1 answer

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

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

where:

  • \( r \) is the radius,
  • \( h \) is the height,
  • \( \pi \) is approximated as 3.14.

Given:

  • \( r = 5 \) inches
  • \( h = 10 \) inches

Substituting the values into the formula:

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

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

\[ 10 + 5 = 15 \]

Next, plug that back into the formula:

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

Now calculate \( 2 \times 3.14 = 6.28 \):

\[ 6.28 \times 5 = 31.4 \]

Then, finally multiply by 15:

\[ 31.4 \times 15 = 471 \]

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

Therefore, the correct answer is:

Four hundred and seventy one square inches.