List the cones described below in order from LEAST volume to GREATEST (smaller to larger) volume.

Question

• Cone 1: radius 11 cm and height 9 cm

 

• Cone 2: radius 8 cm and height 14 cm

 

• Cone 3: radius 14 cm and height 8 cm

Answer 1

The formula for finding the volume of a cone is V = πr²h/3. Using this, we can plug in the radius and height for each cone provided. So Cone 1 would be π11²(9/3) = 1140.4 cubic centimeters, Cone 2 would be π8²(14/3) = 938.29 cubic centimeters, and Cone 3 would be π14²(8/3) = 1642.01 cubic centimeters. Therefore, in order from least volume to greatest volume, the answer would be Cone 2, Cone 1, and Cone 3.