Volume of Spheres, Cones, and Cylinders

Volume Cylinders, Spheres, Cones

Review

•  $Cylinder:\ r\ =\ \pi r^2h$  

•  $Cone:\ V=\frac{1}{3}\pi r^2h$  

•  $Sphere:\ V=\frac{4}{3}\pi r^3$  

• If you are given diameter, divide it by 2 to get the radius

Multiple Choice

How do you find the volume of a cylinder?

• V= ^1/₃ πr²h

• V= ^4/₃ πr²h

• V= ^4/₃ πr³

• V= πr²h

Multiple Choice

How do you find the volume of a cone?

• V= ^1/₃ πr²h

• V= ^4/₃ πr²h

• V= ^4/₃ πr³

• V= πr²h

Multiple Choice

The formula for the Volume of ...

• Spheres

• Cones

• Cylinders

Multiple Choice

What value do we use to approximate this symbol?

• $$pi\ \approx\ 3$$

• $$pi\ \approx\ 31.4$$

• $$pi\ \approx\ 3.14$$

• $$pi\ \approx\ 13.4$$

Multiple Choice

Find the radius of a circle who's diameter is 40 ft.

• 40ft
• 80ft
• 20ft
• 45ft

Multiple Choice

Is the red line a radius or diameter of the circle?

• Radius

• Diameter

Multiple Choice

Is the red line a radius or diameter of the circle?

• Radius

• Diameter

Multiple Choice

Find the radius of a circle who's diameter is 40 ft.

• 40ft

• 80ft

• 20ft

• 45ft

Rounding Review

• The first number after the decimal is the tenths place (3.4)

• The second number after the decimal is the hundredths place (3.44)

• The third number after the decimal is the thousandths place (3.442)

• To round, look to the neighbor to the right to see what to do, if the number is 5 or above, round up. If the number is below five, keep it as is.

• Examples: 3.46 to the tenth

• 2.2234 to the hundredths

Multiple Choice

Round 23.542 to the nearest tenth.

• 23.5

• 23.6

• 23.54

• 23

Multiple Choice

Round 23.542 to the nearest tenth.

• 23.5

• 23.6

• 23.54

• 23

Multiple Choice

Round 1.823 to the nearest whole number.

• 1

• 1.8

• 2

• 2.8

What is the volume?

What do we notice here? What is the volume?

Daily Reflection Question

• A globe Mr. Knowles and Mr. Rich are using to teach about geography has a diameter of 18 inches. What is the volume of the globe? How do you know? Use full sentences.

  
  

Multiple Choice

Michael has a very large soup pot shaped like a cylinder that has a height of 15 inches and a radius of 6 inches. How much soup can Michael’s soup pot hold?

• 4239 in³

• 423.9 in³

• 1695.6 in³

• 1695.6 in²

Multiple Choice

A cylinder shaped jar has a radius of 2 cm and a height of 6 cm. What’s the volume of the jar? 

• 301.44 cubic cm
• 125.93 cubic cm
• 75.36 cubic cm
• 67.89 cubic cm

Multiple Choice

Find the Volume if the height is 10 cm and radius 3 cm?

• 250
• 200
• 283
• 180

Multiple Choice

Find the Volume of the Cone

• 150.72 cm³

• 75.36 cm³

• 452.16 cm³

• 151 cm³

Multiple Choice

Find the Volume of the Cone

• 150.72 cm³

• 75.36 cm³

• 452.16 cm³

• 151 cm³

Other Answers

• Sometimes, answers will be written in relation to pi ( $3.56\pi$  or  $14\pi$  ) 

• Ex. A cylinder has a radius of 5 cm and a height of 4cm. What is the volume?

• 
  

• 
  

• 
  

• 
  

Multiple Choice

The volume of a cone with the same height and radius of a cylinder has what fraction of the volume of the cylinder?

• 1/2

• 2/3

• 1/4

• 1/3

Multiple Choice

A cylinder has a height of 3in and a radius of 3 inches. What is the volume?

• 9π in³
• 27π in³
• 81π in³
• 3π in³

Multiple Choice

A cylinder has a height of 4 m and a diameter or 4 m. What is the volume?

• 64π m³

• 16π m³

• 64π m²

• 16π m²

Multiple Choice

Which cylinder will have a larger volume?

• Cylinder A

• Cylinder B

Finding radius given volume

• To find the radius or height given the volume, you should solve as an equation

• Ex. 1: A cylinder with a volume of 88 in³ and a height of 7 in. What is the radius?

• Ex. 2: A cone with a volume of 20.9 m³ and a radius of 2 m. What is the height?

Multiple Choice

A cylinder has a volume of 502.4cm³ and has a radius of 4cm. What is the height of the cylinder?

• 10cm³

• 10cm

• 5cm²

• 5cm