Volume of Spheres and Cubes

The video tutorial covers comparing the volumes of a cube and a sphere. It explains how to calculate the volume of a cube using the edge length and how to determine the volume of a sphere using a graph. The tutorial presents three problems: comparing volumes when the edge length and radius are equal, finding the sphere's radius when volumes are equal, and comparing function outputs for given inputs. The video emphasizes understanding the relationship between the volumes of cubes and spheres.

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

• s + s + s

• s * s * s

• s / s / s

• s - s - s

How do you find the volume of a sphere using a graph?

• By calculating the circumference

• By reading the radius, then reading up to the graph and over to the y-axis

• By reading the radius and using a formula

• By measuring the diameter

When the edge length of a cube is 3 units, what is its volume?

• 27 cubic units

• 9 cubic units

• 3 cubic units

• 81 cubic units

If a cube and a sphere have the same volume, and the cube's edge is 5 units, what is the sphere's radius approximately?

• 3.1 units

• 5 units

• 2 units

• 4 units

What is the volume of a cube with an edge length of 5 units?

• 150 cubic units

• 25 cubic units

• 125 cubic units

• 100 cubic units

What is the output when the input is the radius of a sphere?

• The volume

• The surface area

• The circumference

• The diameter

When the radius of a sphere is 2 units, what is its approximate volume?

• 64 cubic units

• 35 cubic units

• 16 cubic units

• 8 cubic units

What is the volume of a cube with an edge length of 2 units?

• 4 cubic units

• 8 cubic units

• 16 cubic units

• 2 cubic units

How many times greater is the volume of a sphere compared to a cube when their dimensions are equal?

• Three times

• Five times

• Twice

• Four times

What will be the focus of lesson 20?

• Volume of spheres

• Surface area of spheres

• Volume of cubes

• Surface area of cubes