Volume and Surface Area of Cylinders

Volume and Surface Area 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

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

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

Multiple Choice

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

(Radius is 2.2 cm)

• $$25.08cm^3$$  

• $$20.26cm^3$$  

• $$44.58cm^3$$  

• $$11.40cm^3$$  

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?

Surface Area of Cylinders, Cones, and Spheres

r - radius

H - Heigh of the Cylinder

Multiple Choice

 

Find the total surface area. Use 3.14 for pi. Round to the nearest tenths.

• 84.8

• 141.3

• 56.5

• 254.3

Multiple Choice

  Find the total surface area. Use 3.14 for pi. Round to the nearest tenths.

• 45.2

• 100.5

• 55.3

• 155.7

Multiple Choice

  Find the surface area of a cylinder with a radius of 4 and a height of 3. Use 3.14 for π

• 175.84 mm²

• 709.89 mm²

• 75.36 mm²

• 100.48 mm²

Surface Area of Cones

Example 1

Multiple Choice

Find the surface area of the following cone.

• 113.04 cm squared

• 75.36 cm squared

• 128.74 cm squared

Multiple Choice

Find the surface area of the following cone.

• 157.2 yards squared

• 163.2 yards squared

• 252.58 yards squared

• 365.68 yards squared

Multiple Choice

Find the total surface area of the cone. Round to the nearest tenth.

• 37.7 m²

• 50.3 m²

• 75.4 m²

• 25.1 m²

Multiple Choice

Find the surface area

• 252.58 yd²

• 163.2 yd²

• 365.68 yd²

• 157.2 yd²

Surface Area of Spheres

Example 1

Multiple Choice

Find the surface area of the following sphere.

• 452.16 mm²

• 108.8 mm²

• 904.32 mm²

• 6658.56 mm²

Multiple Choice

Find the surface area of the following cone.

• 314.16 in²

• 166.67 in²

• 314 in²

• 521.24 in²

Multiple Choice

For a sphere with a diameter of 2 cm, what is the Surface Area?

• 100.48 cm²

• 12.56 cm²

• 50.24 cm²

• 25.12 cm²

Multiple Choice

What is the surface area of a baseball with a 3 inch diameter.

• 28.3 in²

• 113.04 in²

• 18.84 in ²