1. MASTERS
Unit 8 Competition
10 Questions
13 Minutes
33 Possible Points

2. The volume of this entire unicorn is 65,006 cubic inches,
MASTERS
Scoring: 5 points
The volume of this entire
unicorn is 65,006 cubic inches,
of which, the horse parts add
up to 64,994 cubic inches. The height of its horn is 15 magical inches. What is the diameter, to the nearest 1/4 inch, at its base (where horn meets horse)?

3. gum cigars, on the other hand, are whimsical and celebratory.
MASTERS
Scoring: 3 points
2. It may be a tradition to give cigars when your baby is born, but they’re yucky. Bubble
gum cigars, on the other hand,
are whimsical and celebratory.
How much gum is in these 24
blue cylinders measuring half
an inch across and eight times
that length?

4. Jimmy Slick sank a striped ball on
MASTERS
Scoring: 4 points
Jimmy Slick sank a striped ball on
the break, then proceeded to sink all the striped balls before missing an easy shot at the 8 ball. Unpleasant words followed. What is the volume of the remaining pool balls on the table whose radii are each inches?

5. and 24 feet from the left to the right,
MASTERS
Scoring: 5 points
4. Find the volume of
this farmer’s red silo,
that measures 82
feet for the high-low,
and 24 feet from the left to the right,
at this cylindri-hemi- spherical site.
82 feet
24 feet

6. 5. An artisan building a pipe organ
MASTERS
Scoring: 3 points
5. An artisan building a pipe organ
realized that the next pipe he made
had to have a diameter one-quarter
inch larger than the previous pipe,
and be three inches taller. The
previous pipe had a diameter of
1.75 inches and a height of 29.5
inches. What is the volume of
the next pipe?

7. MASTERS
Scoring: 3 points
6. A ball is dropped into a fish tank filled with water. Water flows through a straw into a second tank. Find the height of the water in the previously empty second tank. 2” 6” h 5” 3”
12” 4”

8. MASTERS
Scoring: 3 points
7. Well, well, well. The middle one is 48 feet deep and 48 inches across. How many cubic feet of water does it hold?

9. Volume is how many cubic units?
MASTERS
Scoring: 3 points
8. Width is 3x. Diameter is 2x.
Volume is how many cubic units?

10. Time for some easy stuff, which means you only get 30 seconds each.
MASTERS
Time for some easy stuff, which means you only get 30 seconds each.

11. MASTERS
Scoring: 2 points
9. If you multiply the volume formulas for cylinders, cones and spheres together, to what power will the radius be raised?

12. 10. Write the formula for the volume of a hemisphere in simplest form.
MASTERS
Scoring: 2 points
10. Write the formula for the volume of a hemisphere in simplest form.

13. MASTERS
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