IM 8.5.20 Practice: The Volume of a Sphere
A cube’s volume is 512 cubic units. What is the length of its edge?
If a sphere fits snugly inside this cube, what is its volume?
What fraction of the cube is taken up by the sphere? What percentage is this? Explain your reasoning.
Sphere A has radius 2 cm. Sphere B has radius 4 cm.
Calculate the volume of each sphere.
The radius of Sphere B is double that of Sphere A. How many times greater is the volume of B?
Three cones have a volume of cm³. Cone A has a radius of 2 cm. Cone B has a radius of 3 cm. Cone C has a radius of 4 cm. Find the height of each cone.
The graph represents the average price of regular gasoline in the United States in dollars as a function of the number of months after January 2014:
How many months after January 2014 was the price of gas the greatest?
Did the average price of gas ever get below $2?
Describe what happened to the average price of gas in 2014.
What is the volume of each sphere?
Sphere A: radius of 4 cm
Sphere B: diameter of 6 cm
Sphere C: radius of 8 cm
Sphere D: radius of 6 cm
While conducting an inventory in their bicycle shop, the owner noticed the number of bicycles is 2 fewer than 10 times the number of tricycles. They also know there are 410 wheels on all the bicycles and tricycles in the store. Write and solve a system of equations to find the number of bicycles in the store.