Volume of a cone
Recommended Lessons
Not sure where to start? These are the lessons and games we recommend most to students, parents and teachers on Basic-mathematics.com. Each lesson explains the topic in plain language, walks you through worked examples step by step, and ends with practice so you can check your understanding. Pick one below, or use the menu to find lessons on fractions, algebra, geometry, statistics and more.
Thus, the formula to use to find the volume is Vcone = 1/3 × π × r2 × h
Use π = 3.14
Some examples that will show how to find the volume of a cone.
Example #1:Calculate the volume if r = 2 cm and h = 3 cm
Vcone = 1/3 × 3.14 × 22 × 3
Vcone = 1/3 × 3.14 × 4 × 3
Vcone = 1/3 × 3.14 × 12
Vcone = 1/3 × 37.68
Vcone = 1/3 × 37.68/1
Vcone = (1 × 37.68)/(3 × 1)
Vcone = 37.68/3
Vcone = 12.56 cm3
Example #2:
Calculate the volume if r = 4 cm and h = 2 cm
Vcone = 1/3 × 3.14 × 42 × 2
Vcone = 1/3 × 3.14 × 16 × 2
Vcone = 1/3 × 3.14 × 32
Vcone = 1/3 × 100.48
Vcone = 1/3 × 100.48/1
Vcone = (1 × 100.48)/(3 × 1)
Vcone = 100.48/3
Vcone = 33.49 cm3
An example showing how to find the volume of an oblique cone.
Since the formula to find the volume of a cone applies to all cones, including oblique cone, we can use the formula V = 1/3(π×r2×h)
Example #3:
Find the volume of an oblique cone with a diameter of 12 ft and a height of 15 ft. Before using the formula, we need to find the radius of the cone.
radius = diameter/2 = 12/2 = 6
Voblique cone = 1/3 × 3.14 × 62 × 15Voblique cone = 1/3 × 3.14 × 36 × 15
Voblique cone = 1/3 × 3.14 × 540
Voblique cone = 1/3 × 1695.6
Voblique cone = 1/3 × 1695.6/1
Voblique cone = (1 × 1695.6)/(3 × 1)
Voblique cone = 1695.6/3
Voblique cone = 565.2 ft3
|
Buy a comprehensive geometric formulas ebook. All geometric formulas are explained with well selected word problems so you can master geometry. |