Lesson
Volume of a Cone
A cone occupies one third of the volume of a cylinder
The volume of a cone is found by using the formula:
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[Formula]
| Ìý V = 1/3 AhÌý |
Where A = πr²
| Ìý V = 1/3 Ï€r²hÌý |
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Example
Calculate the volume of the cone,
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Explanation
Recall the formula for calculating the volume of a cone,
ÌýV = 1/3 Ï€r²h
Using the formula where r=18 and h=28, we substitute these numbers into the formula,
V = 1/3 π(18)²(28)
V = 3024πcm³ (exact form)
∴V ≈ 9500cm³ (approximation, correct to the nearest whole number)
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Question
Find the volume of the following cone correct to two decimal places.
Explanation
Recall the formula for the Volume of a cone.
ÌýV = 1/3 Ï€r²h
Where r=1.6 and h=3.5
V = 1/3 π(1.6)²(3.5)
V =9.38