Cone
Cylinder
Sphere
Problem Solving
Anything Goes
100

What is the formula for the volume of a cone?

V=(1/3) pi r2h

100

What is the formula for the volume of a cylinder? 

V=pi r2h

100

What is the formula for the volume of a sphere? 

V=(4/3) pi r3

100

The length of the side of a cube is 2m2 . What is the volume of the cube expressed as a power?

8m6

100

What shape results from a horizontal cross section of a cylinder?

circle 

200

How many cones can fit inside a cylinder if they share the same height and same sized circular base?

3

200

What shape results from the vertical cross section of a cylinder?

rectangle

200

A sphere has a radius of 6 inches. What is the volume?

288 in3

200

A solid object was sliced to form two new objects. Each of the two new objects had a circular base. Which shape could not have been the original object?

prism, pyramid

200

How many places after the decimal do you round when rounding to the hundredths place?

2

300

If a cone has a diameter of 7 inches and a height of 14 inches, find the volume to the nearest tenth.

718.4 in3

300

A cylinder has a height of 10 inches and a radius of 3 inches. What is the volume in terms of pi? 

90 pi in3

300

A sphere has a diameter of 42 inches. Find the volume. 

38792.4 in3

300

Cylinder A has a radius of 4 inches and a height of 2 inches. Cylinder B has a radius of 2 inches. What is the height of Cylinder B if both cylinders have the same volume?

8 inches 

300

If you are asked to leave your answer in terms of pi, what type of solution is this?

exact 

400

A waffle cone at Big Dipper has a height of 6 inches and a diameter of 4 inches. A sugar cone has a height of 5 inches and a diameter of 3 inches. What is the difference in the different cones volumes, in terms of pi? 

4.25 pi in3

400

A half-cylinder has a radius of 4 meters and a height of 12 meters. Find the volume in terms of pi. 

96 pi m3

400

If a half-sphere has a diameter of 10 meters, find the volume in terms of pi.

(500/3) pi m3

400

A cone has a volume of 165 m3 and a sphere has a radius of 6 meters. What is the difference in the volumes?

123 m3

400

A rectangular prism has a length of 2 inches, a width of 4 inches, and a height of 6 inches. What is the volume?

48 in3

500

A cylinder has a radius of 4 in and a volume of 128 in3. What is the height of the cylinder?

8 inches

500

You're given a can of soup that has a height of 10 inches and a diameter of 5 inches. However, the soup is only filled up 2 inches from the top of the can. Find the volume of the soup to the nearest hundredth. 

628.32 in3

500

A snowball has a diameter of 6 centimeters. How long would it take the snowball to melt if it melts at a rate of 1.8 cubic centimeters per minute?

62.83 minutes 

500

A cookie jar is made out of a cone sitting on top of a cylinder. The cylinder has a height of 3 centimeters while the entire jar has a height of 7 centimeters. The solids have a shared circular base with a diameter of 10 centimeters. What is the total volume of the jar?

(325/3) pi cm3

500

An object consists of a square pyramid with its base sitting on top of a cube. A vertical cross section passes through both figures slicing the object in half. What is the resulting shape created by the intersection of these three-dimensional solids?

Pentagon