Comparing Volume of Cones and Cylinders

Calculate the amount of ice cream this cone can hold (just to the top of the cone). Use 3.14 for π.

• 58.29 cm²

• 58.29 cm³

• 233.15 cm²

• 233.15 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

At the movie theater, you can buy popcorn in a cylindrical bucket that measures 8” across and 8” high for $11, or you can buy a cone-shaped bag of popcorn that measures 8” across and 8” high for $4..  Which is the better value?

• The bucket is the better value

• The cone is the better value

• They are the same value

• It is impossible to determine

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Match the following adjusted formulas

• V = πr²h

• Volume of a triangular prism

• V = l•w•h

• Volume of a rectangular prism

• V = (4/3)πr³

• Volume of a cone

• V = (1/3)πr²h

• Volume of a sphere

• V = (1/2)bh•h

• Volume of a cylinder

Tags

CCSS.7.G.B.6

A cone has a height of 6 centimeters and a radius of 5 centimeters. What is the volume of this shape? Round to the nearest hundredth. 

• 471.24

• 565.49

• 188.5

• 157.08

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cone and a cylinder have the same diameter and height. How many times greater is the cylinder's volume than the cone's?

• 1

• 2

• 3

• 4

Tags

CCSS.3.MD.A.2

An ice cream cone that is 4 inches tall has an opening that is 8 inches across. Find the volume of the cone.

• 201.06 inches³

• 67.02 inches³

• 50.27 inches³

• 403.19 inches³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

• 70 cm³
• 35 cm²
• 183 cm³
• 549 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

An ice cream package is cone shaped. It has a radius of 5.5 cm and a height of 17 cm. Find the volume of the ice cream cone. 

• 403.89 cm³

• 4993.56 cm³

• 520 cm³

• 538.52 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the volume of this cone.

• 31415.93 m³

• 10476.54 m³

• 10471.98 m³

• 31419.52 m³

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