Questions: What is the surface area of the cylinder with height 8 in and radius 7 in? Round your answer to the nearest thousandth.

Solution Steps

The problem provides the height (h) and radius (r) of a cylinder:

• Height (h) = 8 inches
• Radius (r) = 7 inches

The surface area (SA) of a cylinder is given by the formula: \[ SA = 2\pi r (r + h) \]

Substitute \( r = 7 \) and \( h = 8 \) into the formula: \[ SA = 2\pi (7) (7 + 8) \] \[ SA = 2\pi (7) (15) \]

Calculate the product inside the parentheses first: \[ SA = 2\pi (7 \times 15) \] \[ SA = 2\pi (105) \]

\[ SA = 2 \times 3.141592653589793 \times 105 \] \[ SA \approx 2 \times 3.141592653589793 \times 105 \] \[ SA \approx 659.7344572538566 \]

Final Answer