Exploring Surface Area and Volume of a Sphere

What defines a sphere in geometric terms?

• All points in space at a fixed distance from the center

• A 2D shape with all points equidistant from the center

• A shape with a flat surface

• A cube with six equal sides

What is the relationship between the diameter and radius of a sphere?

• There is no fixed relationship

• Diameter is twice the radius

• Radius is twice the diameter

• Diameter is half the radius

What does a great circle represent on a sphere?

• A circle that divides the sphere into two equal halves

• The circle with the smallest radius on the sphere

• A circle that does not pass through the center

• The smallest circle that can be drawn on the sphere

What is the formula for calculating the surface area of a sphere?

• 4 PI R squared

• 4 PI R cubed

• PI R squared

• 2 PI R squared

How do you calculate the volume of a sphere?

• 2/3 PI R cubed

• 4/3 PI R squared

• 4/3 PI R cubed

• PI R cubed

If the radius of a sphere is doubled, by what factor does the surface area increase?

• 8 times

• 6 times

• 4 times

• 2 times

If the radius of a sphere is 12 meters, what is its surface area?

• 452 PI meters squared

• 288 PI meters squared

• 576 PI meters squared

• 144 PI meters squared

For a sphere with a radius of 12 meters, what is its volume?

• 2048 PI meters cubed

• 1728 PI meters cubed

• 2304 PI meters cubed

• 2160 PI meters cubed

What is the surface area of a sphere if the diameter is given as 8 meters?

• 128 PI meters squared

• 64 PI meters squared

• 256 PI meters squared

• 1024 PI meters squared

Calculate the volume of a sphere with a diameter of 8 meters.

• 2048/3 PI meters cubed

• 1024/3 PI meters cubed

• 512/3 PI meters cubed

• 256/3 PI meters cubed