Pythagorean Theorem and Volume Review
16
In Lanberry, the library is due south of the courthouse and due west of the community swimming pool. If the distance between the library and the courthouse is 12 miles and the distance between the courthouse and the city pool is 20 miles, how far is the library from the community pool?
1436
Jose measures the diameter of a ball as 14 inches. How many cubic inches of air can the ball hold, to the nearest tenth ?
11.2
Solve for the missing side length
13
The floor of a rectangular living room is 12 meters by 5 meters. What is the distance between opposite corners of the living room?
3052.08
Find the volume of the sphere. Round to the nearest tenth. Use 3.14 for pi.
44.6
Find the volume of the sphere. Round to the nearest tenth. Use 3.14 for pi.
904.32
Find the volume of the sphere. Round to the nearest tenth. Use 3.14 for pi.
6.3
Find the missing length of the right triangle.
70
Find the missing length of the right triangle.
2373.84
Find the combined volume of the figure. (Hint: volume of a cylinder + volume of a hemisphere)
17.5
Find the length of the diagonal line inside the rectangular prism.
31.2
Find the length of the diagonal line inside the rectangular prism.
10
Find the missing length of the right triangle.
14.3
Find the missing length of the right triangle.
20
The volume of a cone is 60π inches3. If the radius of the cone is 3 inches, what is the height?
10
The volume of a cylinder is 810π cm3. If the radius is 9 cm, what is the height?
2177.9
What is the volume of the can? (Hint: Be careful. You are given the diameter)
28.26
What is the volume of this cone with a height and radius of 3? Use 3.14 for pi.
27.7
What is the volume of this cone? Use 3.14 for pi.
17
Whenever he visits Cedarburg, Marlon has to drive 8 miles due north from home. Whenever he visits Lexington, he has to drive 15 miles due east from home. How far apart are Cedarburg and Lexington, measured in a straight line?
10
Which is the appropriate length of the hypotenuse of the right triangle?
4.8
Which is the appropriate length of the hypotenuse of the right triangle?