Spheres Cones

Volume of Spheres, Cones & Cylinders

You will need:

- Pencil

-Paper

-Calculator

Multiple Choice

Warm up: Which figure can be transformed into figure P by a translation 2 units to the right followed by a reflection across the x-axis

?

• Figure J

• Figure K

• Figure L

• Figure M

Cones

• The volume of a cone is               V= $\frac{1}{3}\pi r^2h$  

• r = radius (half the diameter)

• h = height

•  $\pi\ =$  pi = 3.14

Multiple Choice

Solve for the Volume of the cone with a height of 10 inches and a radius of 5 inches. Use 3.14 for pi.

• $$785\ in^3$$

• $$261.666...\ in^3$$

• $$523.333...\ in^3$$

Cylinder Volume

• The volume of a cylinder is        V= $\pi r^2h$  

• r = radius 

• h = height

•  $\pi$  = pi = 3.14

Multiple Choice

Solve the volume for the Cylinder. Use 3.14 for  $$\pi$$ . (Height of 12cm and radius of 6cm)

• $$1356.48cm^3$$  
  

• $$2712.96cm^3$$  

• $$226.08cm^3$$  

Sphere

• The volume of a Sphere is $V=\frac{4}{3}\pi r^3$  

• The Radius is cubed (to the power of 3)

Multiple Choice

Find the volume of the Sphere. Use 3.14 for $$\pi$$  .  Round to the nearest hundredths place.

(Radius is 2.2 cm)

• $$25.08cm^3$$  

• $$20.26cm^3$$  

• $$44.58cm^3$$  

• $$11.40cm^3$$  

Time to test your Knowledge!

Multiple Select

What is the formula of a Cone? Check all that apply.

• Height

• $$\frac{1}{3}$$

• $$r^2$$

• $$r^3$$

• $$\pi$$

Multiple Choice

Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches.

Which equation can be used to find the volume of the container?

• $$V=\ 9\pi$$

• $$V=(4.5)^2(32)\pi$$

• $$V=\left(9\right)^2\left(32\right)\pi$$

• $$V=(4.5)(32)\pi$$
  

Multiple Choice

You have a globe that has a radius of 11 inches. Find the volume of your globe. Use the $$\pi$$  button on your calculator & round to the nearest whole number.

• 523  $$in^3$$  

• 16,717 $$in^3$$  

• 5,575  $$in^3$$  

• 7,235  $$in^3$$  

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? Use 3.14 for  $$\pi$$ .

• 301.44 $$cm^3$$

• 125.93 $$cm^3$$

• 75.36 $$cm^3$$

• 67.89 $$cm^3$$

Multiple Choice

Find the Volume of the Cone. Use 3.14 for  $$\pi$$  .

• 150.72 cm³

• 75.36 cm³

• 452.16 cm³

• 151 cm³

Multiple Choice

Find the volume of the Sphere. Use the  $$\pi$$   button on your calculator & round to the nearest tenths place. 

• 78.5 m³

• 392.5 m³

• 523.6 m³

• 62.8 cm³

Multiple Choice

Find the volume of the following cone. Leave in terms of $$\pi$$  .

•   $$156\pi m^3$$  

• $$702\pi m^3$$  

• $$2,106\pi m^3$$  
  

• $$78\pi m^3$$  
  

Poll

How are you feeling about volume?