9.4 Comparing volumes of cones and cylinders

What is the formula for VOLUME of a CONE?

What is the formula for VOLUME of a CYLINDER?

What is the volume of the cone to the nearest tenth (use the $\pi$ button)?

What is the volume of the cone to the nearest tenth (use the $\pi$ button)?

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

• 8.4 ft³
• 100.5 ft³
• 25 ft³
• 16.8 ft³

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

Which formula can you use to find the volume of the cylinder not taken up by the cone?

The height of the cylinder is equivalent to the height of the joined cones.  The area of the bases of the cones and cylinder are congruent. The volume of the cylinder is ​ (a)   the volume of the joined cones

• 3 times
• 1/3 of
• 6 times
• 1/6 of
• twice
• 1/2 of
• twice

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