Calculating Volume and Surface Area of a Sphere

What is the formula to calculate the volume of a sphere?

• V = π r^3

• V = π r^2

• V = 2π r

• V = 4/3 π r^3

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

• π r^2

• 4 π r^2

• 6 π r^2

• 2 π r^2

If the radius of a sphere is 5 cm, what is its volume?

• 100 π cubic centimeters

• 500/3 π cubic centimeters

• 75 π cubic centimeters

• 125 π cubic centimeters

For a sphere with a radius of 8 inches, what is the surface area?

• 256 π square inches

• 64 π square inches

• 128 π square inches

• 512 π square inches

How do you find the radius of a sphere if you know its volume?

• Take the cube root of (3V/4π)

• Divide the volume by π and square it

• Square the volume and divide by π

• Multiply the volume by 3/4π

What is the diameter of a sphere if its surface area is 36 π square feet?

• 12 feet

• 18 feet

• 6 feet

• 3 feet

Given the volume of a sphere as 972 π cubic yards, what is its radius?

• 9 yards

• 3 yards

• 6 yards

• 12 yards

What is the surface area of a sphere with a radius found from a volume of 972 π cubic yards?

• 324 π square yards

• 108 π square yards

• 81 π square yards

• 972 π square yards

If the surface area of a sphere is 196 π, what is the radius?

• 7

• 49

• 28

• 14

Calculate the volume of a sphere with a radius of 7, given the surface area.

• 1029 π cubic centimeters

• 686 π cubic centimeters

• 343 π cubic centimeters

• 1372/3 π cubic centimeters