Answer: The surface area of a sphere can be calculated using the formula:
A = 4 * π * r^2
Where r is the radius of the sphere.
The diameter of the sphere is 36 cm, so the radius can be found by dividing the diameter by 2:
r = 36 cm / 2 = 18 cm
Now that we have the radius, we can plug it into the formula:
A = 4 * π * r^2 = 4 * π * (18 cm)^2 = 4 * π * 324 cm^2 = 1296 * π cm^2
Since π is approximately equal to 3.14, we can get an approximate answer:
A ≈ 1296 * 3.14 = 4071.84 cm^2
So the surface area of the sphere with a diameter of 36 cm is approximately 4071.84 square centimeters.
Explanation: