Question

There are 4 cones with a height of 18 meters. The Radius of the Cones: Cone 1: 1 Cone 2: 2 Cone 3: 3 Cone 4: 4 What's the volume of each cone? Express your answer in terms of pi.

Answer 1

6π

24π

54π

96π

Explanation:

Cone 1:

Height, h= 18 meters

Radius, r = 1

Volume of cone 1 = πr²h/3

= (π * 1² * 18)/3

= (π * 1 * 18)/3

= 18π/3

= 6π

Cone 2:

Height, h= 18 meters

Radius, r = 2

Volume of cone 2 = πr²h/3

= (π * 2² * 18)/3

= (π * 4 * 18)/3

= 72π/3

= 24π

Cone 3:

Height, h= 18 meters

Radius, r = 3

Volume of cone 3 = πr²h/3

= (π * 3² * 18)/3

= (π * 9 * 18)/3

= 162π/3

= 54π

Cone 4:

Height, h= 18 meters

Radius, r = 4

Volume of cone 4 = πr²h/3

= (π * 4² * 18)/3

= (π * 16 * 18)/3

= 288π/3

= 96π