Answer:
The formula for the volume of a sphere is:
Volume = (4/3)πr^3
where r is the radius of the sphere.
1. The radius of a sphere is 8 millimeters.
Volume = (4/3)π(8^3) = 2144π cubic millimeters
2. The radius of a sphere is 2 millimeters.
Volume = (4/3)π(2^3) = 33.51 cubic millimeters
3. The circumference of the great circle of a sphere is 9.42 square millimeters.
The circumference of the great circle of a sphere is given by the formula:
Circumference = 2πr
where r is the radius of the sphere.
2πr = 9.42
r = 1.5
The radius of the sphere is 1.5 millimeters.
4. The surface area of a sphere is 50.24 square millimeters.
The surface area of a sphere is given by the formula:
Surface Area = 4πr^2
4πr^2 = 50.24
r^2 = 4
r = 2
The radius of the sphere is 2 millimeters.
5. The circumference of the great circle of a sphere is 12.56 square millimeters.
The circumference of the great circle of a sphere is given by the formula:
Circumference = 2πr
2πr = 12.56
r = 2
The radius of the sphere is 2 millimeters.
6. The surface area of a sphere is 25.12 square millimeters.
The surface area of a sphere is given by the formula:
Surface Area = 4πr^2
4πr^2 = 25.12
r^2 = 2
r = 1.41
The radius of the sphere is 1.41 millimeters.
Therefore, the statements that are true are:
The radius of a sphere is 2 millimeters.
The circumference of the great circle of a sphere is 12.56 square millimeters.