Pythagorean Theorem and Volume

Pythagorean Theorem

100

What is the Pythagorean Theorem Formula

a² + b² = c²

200

Find the missing side length of the following right triangle.

15

300

Find the length of the hypotenuse.

340 ft.

400

Is Triangle E a right triangle

yes

a^2 + b^2 = c^2

3^2 + 4^2 = 5^2

9 + 16  = 25

25 = 25

Converse of Pythagorean Theorem

100

Are the following sides lengths from a right triangle?

5, 7, 9

NO

200

Are the following sides lengths from a right triangle?

9, 40, 41

YES

300

Are the following sides lengths from a right triangle?

17, 144, 145

YES

400

Are the following sides lengths from a right triangle?

8.5, 9.5, 12.75

NO

Cylinders

100

What is the volume formula for cylinders? 

V = pir^2h

200

Find the volume of the following figure to the nearest whole number.

V = 63i n^3

300

Find the volume of the following figure to the nearest hundredth: 

V = 125.66i n^3

400

Find the exact volume of a cylinder with a diameter of 12ft and a height of 8ft.

V = 288pift^3

Cones

100

What is the volume formula for a cone? 

V = 1/3pir^2h

200

Find the volume of the following cone. Round to the nearest whole number:

V = 25ft^3

300

Find the area of the following cone to the nearest tenth: 

V = 41.9i n^3

400

Find the exact volume of a cone with a radius of 5cm and a height of 9cm.

V = 75picm^3

Spheres

100

What is the volume formula for a sphere? 

V = 4/3pir^3

200

Find the volume of the following figure to the nearest whole number:

V = 268i n^3

300

Find the volume of the following figure to the nearest tenths place:

V = 113.1m^3

400

Find the volume of the following figure to the nearest hundredths place. Remember, this is 1/2 a sphere.

V = 1072.33cm^3