Volume of cones notes

Volume of Cones

Replace this with a sub-header that can be in multiple lines. ​

Duplicate this text as many times as you would like.

Locate your geometry notes. They should already have circle notes completed.

​What does this mean?
How can you use the formula for volume of a cylinder to find the volume of a cone?

Multiple Choice

The cone and cylinder have the same base and height. If the cylinder has a volume of 30 cubic inches, what is the volume of the cone?

• 10 in³

• 15 in³

• 60 in³

• 90 in³

Multiple Choice

The cone and cylinder have he same base and height. If the cone has a volume of 15 cubic inches, what is the volume of the cylinder?

• 45 in³

• 15 in³

• 5 in³

• 30 in³

​Add the following notes to your paper. Leave the blank areas open for more information.

Pause and think. What are cubic units?

Since volume is 3-dimensional, we measure it in unit cubes.

• If a shape is measured in inches, the units for volume are cubic inches (inches³)

• If a shape is measured in feet, the units for volume are cubic feet (feet³)

• If a shape is measured in cm, the units for volume are cubic inches (inches³)

​Add the notes for the volume formula to your paper

​Add the notes for the volume formula to your paper

​Add the notes for the volume formula to your paper

​Flip your paper over, let's practice

Do you remember the different between exact and approximate?

Multiple Choice

What is the formula for Volume of a Cone?

• V=π r³h
• V=π r²h
• V=(1/3)π r²h
• V=(4/3)π r³

Multiple Choice

Find the exact volume. (Leave in terms of pi).

• 4π ft³

• 36π ft³

• 18π ft³

• 12π ft³

Multiple Choice

Find the volume to the nearest hundredth using 3.14 instead of Pi.

• 12.56 ft³
• 37.68 ft³
• 18.84 ft³
• 6.28 ft³

Multiple Choice

Find the volume of the cylinder. Round your answers to the nearest tenth if necessary. Use 3.14 for π.

• 124.6 in³
• 87.9 in³
• 97.5 in³
• 78.9 in³

Multiple Choice

What is the volume of the cone to the nearest tenth?

• 29.3 $$m^3$$

• 88 $$m^3$$

• 14.7 $$m^3$$

• 44 $$m^3$$

Multiple Choice

Notice that you are now given the diameter. First you must divide that by two to find the radius.

Find the exact volume (leave in terms of pi).

• 486π mi³

• 132π mi³

• 6104π mi³

• 1026π mi³

Multiple Choice

Notice that you are now given the diameter. First you must divide that by two to find the radius.

Find the approximate volume. (Use 3.14 for pi)

• 1,526.04 mi³

• 4,578.12 mi³

• 6,104.09 mi³

• 1,026.12 mi³

Multiple Choice

A cylinder has a radius of 3 cm and a height of 7 cm. What is the volume of the cylinder?

• 63 $$\pi$$ cm $$^3$$

• 126 $$\pi$$ cm $$^3$$

• 21 $$\pi$$ cm $$^3$$

• 9 $$\pi$$ cm $$^3$$

Multiple Choice

What is the approximate volume of the cone to the whole number ? 

• 157  $$m^3$$   

• 31  $$m^3$$  

• 471  $$m^3$$  

• 208  $$m^3$$  

Multiple Choice

Find the volume to the nearest hundredth using 3.14 instead of Pi.

• 418.00 cm³
• 139.33 cm³
• 130.62 cm³
• 1671.98 cm³

Multiple Choice

approximate v = ?

***Remember to take half of the diameter to get the radius.***

• 2,144.66 m³

• 1,608.49 m³

• 535.9 m³

• 498.62 m³

Multiple Choice

A cone has a height of 30 in. and a diameter of 20 in. What is the approximate volume of the cone?

• 600 in³

• 1,885 in³

• 3,140 in³

• 12,566 in³

Multiple Choice

A cylindrical can has a diameter of 10 cm and a height of 15 cm. What is the volume of the can?

• 750 $$\pi$$ cm $$^3$$

• 1500 $$\pi$$ cm $$^3$$

• 375 $$\pi$$ cm $$^3$$

• 150 $$\pi$$ cm $$^3$$

Multiple Choice

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

•   $$156\pi\ m^3$$  

• $$702\pi\ m^3$$  

• $$2,106\pi\ m^3$$  
  

• $$78\pi\ m^3$$  
  

Multiple Choice

Find the approximate volume of the cone. USe 3.14 for pi

• 489.84 m³ 

• 2,204.28 m³

• 6,612.84 m³

• 244.92 m³

Multiple Choice

^{_{Estimate the volume.}}

• 163in³
• 18in³
• 283in³
• 324in³

Multiple Choice

What is the volume of the cone? Leave your answer in terms of  $$\pi$$  

• $$36\pi\ in^2$$  
  

• $$54\pi\ in^3$$  
  

• $$18\pi\ in^3$$  
  

• $$162\pi\ m^3$$

Multiple Choice

What is the approximate volume of the cone? Use 3.14 for pi.

• 169.56 in³

• 63.72 in³

• 56.52 in³

• 8,088.02 in³