Unit 5B Volume

Numbers

100

Pi (𝛑) is a:

  a. range 

  b. ratio 

  c. formula

a ratio 

200

What is the closest numeric, fractional equivalent to pi?

(Write 𝛑 as a fraction)

22/7

300

Pi is numerically simplified to...

(𝛑 = ____)

𝛑 = 3.14

3.14159

400

What is the formula to find 𝛑?

𝛑 = circumference / diameter 

500

True or False 

There are imaginary numbers used in mathematics

TRUE!

Square root of a negative number is imaginary and notated with the symbol i

Cylinder

100

True or False 

You must take a cube root to find the volume of a cylinder 

FALSE 

200

What is the formula to find the volume of a cylinder?

V = 𝛑 r² h

300

What is the EXACT volume of this cylinder? (Must show units to get credit) 

radius = 2 m

height = 12 m

V = 48𝛑 m³

400

What is the ROUNDED volume of this cylinder? (Must show units to get credit)

radius = 5 cm

height = 16 cm

V ≈ 1256 cm³

500

What is the EXACT volume of a cylinder that has:

diameter = 8m

height = 9m

(Must show units to get credit)

V = 144𝛑 m³

Cone

100

True or False 

You must divide the formula for a cylinder by 3 to get the volume of a cone

True!

200

What is the formula to find the volume of a cone?

V = (𝛑 r² h) / 3

300

What is the ROUNDED volume of this cone? (Must show units to get credit)

radius = 5 m

height = 13 m

V ≈ 340.167𝛑 m³

400

What is the ROUNDED volume of this cone?

(Must show units to get credit)

d = 16 cm

h = 12 cm

803.84 cm³

500

What is the EXACT volume of this cone? (Must show units to get credit)

h = 24 cm

d = 14 cm

V = 392𝛑 cm³

Sphere

100

True or False: 

A sphere is a polyhedron

FALSE! 

It has not vertices or edges therefore it is not a polyhedron 

200

Find the EXACT volume of a sphere with a radius of 15cm. 

(Must include units to get credit)

V = 4500𝛑 cm³

300

Find the ROUNDED volume of a sphere with a diameter of 32 cm. (Must include units to get credit)

V ≈ 17,148.59 cm³

400

What is the ROUNDED volume of a sphere with a radius of 17 cm? (Must show units to get credit)

V ≈ 20569.09 cm³

500

What is the ROUNDED volume of a sphere that has a diameter of 23 cm?

(Must include units to get credit)

V ≈ 6367.4 cm³

Wild Card

100

Find the EXACT volume of this cylinder: (must show units to get credit)

r = 3 m

h = 5 m

V = 45𝛑 m³ 

200

Find the EXACT AREA of a circle that has a radius of 6cm.

(Must show units to get credit)

A = 36𝛑 cm²

300

Find the ROUNDED CIRCUMFERENCE of a circle that has a radius of 7m.

(must include units to get credit)

C = 2𝛑r

C ≈ 43.96 m²

400

What is the rounded volume of a sphere with a diameter of 28 cm?

(must show units to get credit)

V ≈ 11488.21 cm²

500

What is the AREA of a triangle that is 18 in. in height and 20 in. in width?

A = 180 in.²