Which of the following correctly describes a sphere?(1 point) Responses A sphere has a face. A sphere has a face. A sphere has an edge. A sphere has an edge. A sphere has a vertex. A sphere has a vertex. A sphere has a center.
A sphere has a center.
Which of the following is true about the diameter of a sphere?(1 point) Responses The diameter is 2.5 times the length of the radius. The diameter is 2.5 times the length of the radius. The diameter is the shortest length on a sphere. The diameter is the shortest length on a sphere. The diameter is not a chord. The diameter is not a chord. The diameter of a sphere passes through the center of the circle. The diameter of a sphere passes through the center of the circle.
The diameter of a sphere passes through the center of the circle.
Use the formula for the surface area of a sphere to find the surface area of a basketball that has a diameter of 9.2 inches. Use 3.14 pi and round your answer to the nearest hundredth, if necessary.(1 point) Responses 1,063.08 in.2 1,063.08 inches squared 66.44 in.2 66.44 inches squared 84.64 in.2 84.64 inches squared 265.77 in.2
First, we need to find the radius of the sphere, which is half of the diameter:
Radius = 9.2 inches / 2 = 4.6 inches
The formula for the surface area of a sphere is:
Surface Area = 4πr^2
Substitute the values:
Surface Area = 4 * 3.14 * (4.6)^2
Surface Area = 4 * 3.14 * 21.16
Surface Area = 4 * 66.6544
Surface Area = 266.6176 inches squared
Rounded to the nearest hundredth, the surface area of the basketball is approximately 266.62 inches squared.
So, the closest answer provided is:
265.77 inches squared.