Volume of Cones, Cylinders & Spheres

Deliyah has a bucket shaped like a cylinder. She is filling the bucket with water by using a scoop shaped like a cone. If the cone has the same radius and the same height as the bucket, how many scoops will it take her to fill the bucket?

• 1 scoop

• 3 scoops

• 2 scoops

• 1/3 scoop

• 1/2 scoop

Answer explanation

Remember the video we watched in class!

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cone, a cylinder and a sphere all have the same radius and the same height. Which would have the largest volume?

• The cone

• The cylinder

• The sphere

• The sphere and the cylinder would have the same volume.

Answer explanation

Remember the video we watched in class!

Tags

CCSS.3.MD.A.2

Harold bought a piñata shaped like a soccer ball. The radius of the piñata is 5 inches. What is the total volume of the piñata?

Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.

Enter numbers only, do NOT include units.

(a)  

Answer explanation

$V=\frac{4}{3}\pi^3$

Make sure you use cubed and not squared!
r = 5

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cylinder has a volume of 24 cubic feet. What would be the volume of a cone with the same radius and height?

• 72 cubic feet

• 32 cubic feet

• 12 cubic feet

• 18 cubic feet

• 8 cubic feet

Answer explanation

Remember: a cone is 1/3 the volume of a cylinder!

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A kid's pool is cylindrical and has a radius of 5 feet and a height of 2 feet. How many cubic feet of water will the kid's pool hold?

• 78.5 cubic feet

• 157 cubic feet

• 10 cubic feet

• 52.3 cubic feet

• 523.33 cubic feet

Answer explanation

$V=\ Bh$

$B=\pi r^2$

r = 5 h = 2

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A frozen yogurt shop allows guests to fill a cone shaped cup with frozen yogurt. If each cup has a radius of 3 inches and a height of 5 inches, what would the total volume the cup be?

• 28.26 inches cubed

• 141.3 inches cubed

• 47.1 inches cubed

• 70.65 inches cubed

Answer explanation

$V=\frac{1}{3}Bh$

Don't forget the 1/3!

$B=\pi r^2$

r = 3 h = 5

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cylinder has a diameter of 20 centimeters and a height of 8 centimeters. What is the volume of the cylinder?

Use ​𝜋 ≈ 3.14.

Enter numbers only, do NOT include units.

(a)  

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the volume of the sphere.

Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.

Enter numbers only, do NOT include units.

(a)  

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the volume of the sphere.

Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.

Enter numbers only, do NOT include units.

(a)  

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the volume of the cylinder.

Use ​𝜋 ≈ 3.14.

Enter numbers only, do NOT include units.

(a)  

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3