Mathematics
Grade-8
Easy
Question
List the cones described below in order from least volume to greatest volume.
- 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
- Cone 3, Cone 2, Cone 1
- Cone 2, Cone 1, Cone 3
- Cone 1, Cone 3, Cone 2
- Cone 3, Cone 1, Cone 2
Hint:
Volume of Cone =
calculate and then order them by their volume
The correct answer is: Cone 2, Cone 1, Cone 3
Given Cones are
-
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
Volume of Cone = 
Step 1 :
Volume of Cone 1 =133.1411 11 9 = 1140 cm3
Step 2 :
Volume of Cone 2 =133.148 8 14 = 938 cm3
Step 3 :
Volume of Cone 3 =133.1414 14 8 = 1641 cm3
So , order will be cone2 , cone1 , cone3
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