Pyth Thm
Pyth Thm Application
Volume of Cylinders
Volume of Cones
Volume of Spheres
100
Do the side lengths create a right triangle?
10cm, 12cm, 16cm
No
100
Find the distance between the two points.
True answer: 6.3 units
6.2 is ok!
100
Use 3.14 for pi , round to the tenth.
V = 2813.4 cm^3
100
Round to the tenth, leave answer in terms of pi .
V = 18.9pi cm^3
100
Leave in terms of pi , round to the tenth
V = 457.3pi cm^3
200
Do the side lengths create a right triangle?
7ft, 24ft, 25ft
Yes they form a right triangle!
200
Find the distance between the two points.
True answer: 11.4 units
Either 11.2 or 11.5 are ok!
200
Leave in terms of pi
V = 320pi ft^3
200
Leave answer in terms of pi
V = 108pi in3
200
Use 3.14 for pi , round to the tenth
V = 33,493.3 mm^3
300
x~~9.2
300
An 18-foot long ramp is placed at a loading dock that is 5 feet above the ground. How far is the bottom of the ramp from the dock?
The bottom of the ramp is 17.2 feet from the dock.
300
If the cylinder has a height of 5 inches, what is the volume? Use 3.14 for pi
V = 62.8 in3
300
Round to the nearest tenth, use 3.14 for pi .
V = 351.7 in3
300
Leave in terms of pi 
V = 4.5pi in3
400
x~~14.2
400
A fire truck must reach an apartment window 35 feet up. If the truck's ladder is 37 feet long, how far away must the truck park to reach the window?
The truck needs to be 12 feet from the building.
400
Use 3.14 for pi , round to the nearest inch
V = 37 in3
400
Use 3.14 for pi . Round to the nearest foot.
V = 104 ft^3
400
Use 3.14 for pi , round to the tenth.
V = 283.3 in3
500
A leg of a right triangle measures 5m and the hypotenuse measures 19m, what is the measure of the other leg?
~~18.2 m
500
During his marathon, Charlie ran 7 miles east then south to a water station. If the water station is 20 miles from the start, how far south did Charlie run?
He ran 18.8 miles south.
500
Use 3.14 for pi , round to the tenth.
V = 480.3 ft^3
500
Find the height of the cone, THEN find the volume. Use 3.14 for pi. Round to the nearest tenth.
h ~~ 10.9 V = 285.2 cm^3
500
If I only fill the globe halfway with sand, how much sand will I use? Use 3.14 for pi 
You will use 3,617.28 cm3 of sand.