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)

Answers:
314 sq. Inches
471 sq. Inches
471 inches
345.4 sq inches

1 answer

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
  • \(\pi \approx 3.14\)

Substituting these values into the formula:

\[ \text{Surface Area} = 2 \times 3.14 \times 5 \times (10 + 5) \] \[ = 2 \times 3.14 \times 5 \times 15 \] \[ = 2 \times 3.14 \times 75 \] \[ = 6.28 \times 75 \] \[ = 471 \text{ sq. inches} \]

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