QUIZ: Introduction to Volume of Sphere

Which statement about a sphere is true?

• The length of the diameter of a sphere is two times the length of the radius of the sphere.

• The great circle of a sphere is a three-dimensional circle.

• The great circle of a sphere is not the same shape as the base of a cone.

• The center of a sphere is created from a plane that passes through the sphere.

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 54 m³. Amie found the volume of the sphere. Analyze her work to find her error.

• Amie should have multiplied 54 by (2/3).

• Amie should have multiplied 54 by (4/3)π.

• Amie should have multiplied 54 by (4/3).

• Amie should have multiplied 54 by (2/3)π.

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 18 cm³.

• 12 cm³

• 24 cm³

• 36 cm³

• 54 cm³

Lianne drew a sphere with a radius of 7 in. She calculated its volume and wrote it, as shown.

What value should be multiplied by π in the numerator to correctly show the volume of the sphere?

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 30 m³. What is the volume of the sphere?

• 10 m³

• 20 m³

• 30 m³

• 40 m³

A sphere has a radius of 4 in. Which equation finds the volume of the sphere?

• $V\ =\ \frac{4}{3}\pi\left(4\right)^3$

• $V\ =\ \frac{4}{3}\left(4\right)^3$

• $V\ =\ \frac{2}{3}\left(8\right)^3$

• $V\ =\ \frac{2}{3}\pi\left(8\right)^3$

The diameter of a sphere is

• a chord that passes through the center of the sphere.

• a fixed point equidistant from all points on the surface of the sphere.

• a line segment from the center point to a point on the sphere.

• a three-dimensional circle in which all points are equidistant from a fixed point.

Point C represents the center of the sphere. What is the name for the part of the sphere labeled A?

• diameter

• great circle

• center

• radius

A sphere has a radius of 16 in. Which statements about the sphere are true? Check all that apply.

• The sphere has a diameter of 8 in.

• The volume of the sphere is $\frac{2,048}{3}\pi\ in^3$

• The sphere has a diameter of 32 in.

• The radius’s length is one-half the length of the diameter.

• The volume of the sphere is $\frac{16,384}{3}\pi\ in^3$

A sphere has radius of 3 cm. What is the volume of the sphere?

• $V\ =\ 9\pi\ cm^3$

• $V\ =\ 36\pi\ cm^3$

• $V\ =\ 108\pi\ cm^3$

• $V\ =\ 288\pi\ cm^3$