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Area of a Triangle

Theory & Practice Questions.

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:

 

[Formula]

  V = 1/3 Ah 

 

Where A = πr²

  V = 1/3 πr²h 

 

volume of a cone diagram

 

Example

Calculate the volume of the cone,

 

volume of a cone example question

 

Explanation

Recall the formula for calculating the volume of a cone,

 V = 1/3 πr²h

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)

 

 

Question

Find the volume of the following cone correct to two decimal places.

 

volume of a cone example question 2

 

Explanation

Recall the formula for the Volume of a cone.

 V = 1/3 πr²h

Where r=1.6 and h=3.5

V = 1/3 π(1.6)²(3.5)

V =9.38

 

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