Geometric Applications

1. Does the figure to the right form a right triangle? Why or why not?

2. Find the length of the missing side of the right triangle.

3. What is the height of the cone if the slant height is 13 cm?

4. Find the distance between point A and point B as shown on the coordinate plane below.

5. Find the volume of the cylinder. Leave your answer in terms of π.

6. Find the volume of the cone. Use 3.14 for π.

7. If the basketball shown below has a radius of 6 inches from the center to the outside surface, approximately how many cubic inches of air will it hold when fully inflated?

8. Chris is planning to fill up a kiddie swimming pool for his younger sister but he does not have a water hose. He has decided to use a cylindrical bucket with a diameter of 12 inches and a height of 14.5 inches. He has already calculated the approximate volume of the kiddie pool to be able to hold about 60,000 cubic inches of water. Approximately how many buckets of water will he need to use in order to fill the kiddie pool?

9. A sphere has been placed inside a cylinder with the same dimensions; both have a radius of 6 cm, and a height of 12 cm. How many cubic centimeters of space does the sphere NOT fill up?