Sphere Surface Area Calculation

To find the surface area of the sphere, follow these steps:

• Identify Given Information: The diameter (d) of the sphere is 54 cm.
• Calculate Radius: The radius (r) is half the diameter.

  Calculation: $r = \frac{d}{2} = \frac{54 \text{ cm}}{2} = 27 \text{ cm}$

• Use Surface Area Formula: The formula for the surface area (A) of a sphere is $A = 4\pi r^2$.
• Substitute and Calculate: Substitute the radius into the formula.

  Calculation: $A = 4\pi (27 \text{ cm})^2$

  $A = 4\pi (729 \text{ cm}^2)$

  $A = 2916\pi \text{ cm}^2$

The calculated surface area is $2916\pi \text{ cm}^2$, which matches option D.