[size=150]A scoop of ice cream has a 3-inch diameter. How tall should the ice cream cone of the same diameter be in order to contain all of the ice cream inside the cone?[/size]

[size=150]Calculate the volume of the following shape with the given information. Give each answer both in terms of [math]\pi[/math] and by using [math]3.14[/math] to approximate [math]\pi[/math]. Make sure to include units.[/size][br][br]Sphere with a diameter of 6 inches

Cylinder with a height of 6 inches and a diameter of 6 inches

Cone with a height of 6 inches and a radius of 3 inches

How are these three volumes related?

[size=150]A coin-operated bouncy ball dispenser has a large glass sphere that holds many spherical balls. The large glass sphere has a radius of 9 inches. Each bouncy ball has radius of 1 inch and sits inside the dispenser.[br][br][/size]If there are 243 bouncy balls in the large glass sphere, what proportion of the large glass sphere’s volume is taken up by bouncy balls? Explain how you know.

[size=150]A farmer has a water tank for cows in the shape of a cylinder with radius of 7 ft and a height of 3 ft. The tank comes equipped with a sensor to alert the farmer to fill it up when the water falls to 20% capacity. What is the volume of the tank be when the sensor turns on?[/size]