Questions: Find the surface area of the sphere. Round your answer to the nearest hundredth. The surface area is about square meters.

Solution Steps

The problem provides the radius of the sphere, which is 18.3 meters.

The formula for the surface area \(A\) of a sphere is: \[ A = 4\pi r^2 \] where \(r\) is the radius of the sphere.

Substitute \(r = 18.3\) meters into the formula: \[ A = 4\pi (18.3)^2 \]

First, calculate \(18.3^2\): \[ 18.3^2 = 334.89 \]

Next, multiply the result by \(4\pi\): \[ A = 4\pi \times 334.89 \] \[ A \approx 4 \times 3.14159 \times 334.89 \] \[ A \approx 12.56636 \times 334.89 \] \[ A \approx 4204.42 \]

Final Answer