Volume of Cylinders, Cones, and Spheres Intro Video and Quiz

What is the volume of a cone with the same height and radius as a cylinder of 78 cubic centimeters?

• 26 cubic centimeters

• 39 cubic centimeters

• 78 cubic centimeters

• 52 cubic centimeters

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

If a cylinder and a cone have the same radius and height, how does the cone's volume compare to the cylinder's?

• The cone's volume is half of the cylinder's.

• The cone's volume is the same as the cylinder's.

• The cone's volume is one-third of the cylinder's.

• The cone's volume is three times the cylinder's.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

If a cone and a cylinder have the same dimensions, how many times can the cone's volume fit into the cylinder's?

• 3 times

• 4 times

• 2 times

• 5 times

Tags

CCSS.3.MD.A.2

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

• Volume = 4/3 * π * radius^3

• Volume = π * radius^3

• Volume = π * radius^2 * height

• Volume = 2/3 * π * radius^3

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the volume of a sphere with a radius of 2.4 centimeters, rounded to the nearest cubic centimeter?

• 57 cubic centimeters

• 60 cubic centimeters

• 58 cubic centimeters

• 59 cubic centimeters

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the result of raising 2.4 to the third power in the context of calculating a sphere's volume?

• 13.824

• 14.138

• 15.625

• 16.384

Tags

CCSS.7.EE.B.3

When calculating the volume of a sphere, why do we multiply the radius cubed by 4/3 and π?

• To adjust for the sphere's curvature

• To simplify the calculation process

• To convert from cubic units to spherical units

• Because it's the formula derived from the sphere's geometry

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

How do you find the height of a cylinder if you know its volume and radius?

• Multiply the volume by the radius and then divide by π

• Divide the volume by the product of 4/3, π, and radius cubed

• Multiply the volume by the product of π and radius squared

• Divide the volume by the product of π and radius squared

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Given a cylinder with a volume of 40 cubic meters and a radius of 1.2 meters, what is the height of the cylinder to the nearest tenth of a meter?

• 8.5 meters

• 8.8 meters

• 9.0 meters

• 9.2 meters

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the first step in finding the height of a cylinder given its volume and radius?

• Square the radius

• Cube the radius

• Divide the volume by π

• Multiply the volume by π

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3