Volume of Spheres and Cubes

The video tutorial covers activity three from lesson seven, focusing on comparing volumes of cubes and spheres. It explains how to calculate the volume of a cube using its edge length and how to determine the volume of a sphere using a graph. The tutorial presents three problems: comparing volumes of a cube and a sphere with the same dimensions, estimating the radius of a sphere when its volume equals that of a cube, and comparing volume functions with specific inputs. The video emphasizes understanding the relationship between the dimensions and volumes of these shapes.

What is the formula for calculating the volume of a cube?

• s^4

• s + s + s

• s * s * s

• s^2

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

• 9 cubic units

• 3 cubic units

• 27 cubic units

• 81 cubic units

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

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

• By reading the radius and using a formula

• By calculating the circumference

• By measuring the diameter

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

• 2 units

• 7 units

• 3.1 units

• 5 units

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

• 150 cubic units

• 125 cubic units

• 100 cubic units

• 25 cubic units

When the input is 2 units, what is the volume of the sphere?

• 8 cubic units

• 16 cubic units

• 32 cubic units

• 35 cubic units

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

• 8 cubic units

• 6 cubic units

• 10 cubic units

• 4 cubic units

How many times greater is the volume of a sphere compared to a cube when both have dimensions of 2 units?

• Five times

• Four times

• Three times

• Twice

What happens to the volume of a sphere when its radius is equal to the edge length of a cube?

• It becomes equal to the cube's volume

• It is slightly more than four times the cube's volume

• It is half the cube's volume

• It is twice the cube's volume

What will be discussed in lesson 20?

• Volume of cones

• Volume of cubes

• Volume of spheres

• Volume of cylinders