Cylinder, Cones, Spheres

A rancher wants to cut a metal cylinder in half to use as a watering trough as shown.
If the cylinder has a diameter of 5 feet and a length of 9 feet, which value is closest to the volume of the trough in cubic feet? Use π = 3.14.

• 176.6 ft³

• 141.3 ft³

• 88.3 ft³

• 70.7 ft³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the relationship between the volume of cylinder to a similar cone with the same dimensions?

• The volume of the cone is 3-times larger

• The volume of the cylinder is 3-times larger

• The volume of the cone is 2-times larger

• The volume of the cylinder is 2-times larger

Tags

CCSS.5.MD.C.5C

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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Mike created a cone that has a diameter of 8 feet and a height of 3 feet. Find the volume of this cone.

• 50.27 ft³

• 150.72 ft³

• not here

• 192.65 ft³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the volume of a HEMIsphere with a radius of 4. 

• 85.3π

• 62.67π

• 42.67π

• 8π

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The Sphere above has a diameter of 20 centimeters.What would be the volume of the sphere?

• 4,188.8

• 1,333.3

• 2,364.3

• 5,000.3

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Given a cone with the height of 10cm and the base radius of 9cm. Find the volume of this cone?

• 33cm³

• 848cm³

• 332cm³

• 16cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Which cylinder will have a larger volume?

• Cylinder A

• Cylinder B

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3