Show:
Cones & Pyramids
Cylinders & Prisms
Spheres
Cross Sections
Faces, Edges, Vertices
100
What is the formula for volume of a cone? (specifically)
V=pi*r squared * h / 3
100
What is the formula for volume of a cylinder?
V=pi*r^2*h
100
What is the formula for volume of a sphere
4/3*pi*r^3 = V
100
What is the cross section of a sphere cut horizontally?
a circle
100

How many faces are on a cube?

6

200
What is the formula for volume of a square pyramid?
V=l*w*h / 3 or V=s^2 *h/ 3
200
What is the volume of a prism?
V = base area*height. (base area formula depends on the shape: triangle, square, etc)
200

What is the formula for surface area of a sphere?

4 pi r2

200
What shape do you obtain when you rotate an equilateral triangle?
A pyramid
200
How many edges does a rectangular prism have? 

12

300
You have a cone with radius 2 and height 3. What is the volume?
12pi/3 = 4pi
300
What is the volume of a cylinder with a diameter of 17 and a height of 6.
433.5*pi = 1361.88
300
You have a sphere with a diameter of 10. What is the volume?
166.67pi = 523.60
300
When you cut a cylinder vertically, what shape do you obtain?
A rectangle
300

How many vertices are in a triangular prism?

9
400
You have a pyramid with base area dimensions of 9 and 7 and height 2. What is the volume?
126/3 = 42
400
What is the volume of a triangular prism with a base of 7, a triangular height of 3, and a length of 4.1?
43.05
400

What is the surface area of a sphere with a radius of 5 inches? (use 3.14 for pi)

314 inches squared

400
Name 3 shapes you can obtain in cross section by cutting a cylinder.
rectangle, ellipse, circle, etc
400
How many faces, edges, and vertices are in a sphere?

Zero (for all 3)

500
You have a pyramid with base area 2x5 and height 14. What is the radius of a cone with the SAME volume and height 5.
volume = 46.67. Set up the equation 46.67 = pi*r^2 * 5 r = 1.72
500
Let's say you have a cube with side length 3. Now, you want to make a cylinder with height 1 out of this cube. What will the radius be?
Cube has volume = 27 27 = 1*pi*r^2 r=2.93
500

Two part answer: What is the volume AND the surface area of a sphere with a radius of 7? 

Volume = 1436.03 

Surface area = 615.44

500
DAILY DOUBLE: What is Kepler's Barrel Formula? Can it be used to find the volume of shapes such as a cone and sphere?
yes
500

How many vertices does a cylinder have?

none