Volumes of Cones

What is the formula to find the volume of a cone?

• V = (⅓)πr²⋅h

• V = πr²⋅h

• V = (⅓)lw⋅h

• V = (⅓)(½⋅bh)⋅(height of pyramid)

Find the volume. Round to the nearest hundredth.

• 37.70 in³

• 56.54 in³

• 169.65 in³

• 84.82 in³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?

• 21 cubic inches
• 63 cubic inches
• 66 cubic inches
• 198 cubic inches

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Determine the volume of the cone.

• 125.6

• 3768

• 942

• 251.2

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is this formula used to find?
V=1/3πr²h

• The volume of a cylinder
• The volume of a cone
• The volume of a sphere
• The area of a circle

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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

What is the relationship between the volume of a cone and cylinder when they both have the same radius and height?

• The cylinder is 1/3 the volume of the cone. 
• The cone is 1/3 the volume of the cylinder. 
• They have the same volume. 
• Their volumes are not related at all. 

Tags

CCSS.5.MD.C.5C

A cone has a height of 4 in and a radius of 6 in. What is the volume of the cone?

• 8π in³
• 24π in³
• 48π in³
• 144π in³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cone has a height of 6 inches and a radius of 4 inches. What is the volume?

• 96π in³
• 32π in³
• 144π in³
• 48π in³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

v = ?

• 2,144.66 m³
• 1,608.49 m³
• 536.17 m³
• 498.62 m³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3