Question

A cone has a diameter of 12 in. and a height of 16 in.

What is the volume of the cone?

Use 3.14 as an approximation for pi and express your final answer in hundredths.

Answer 1

The formula for the Volume of a Cone is
`(1)/(3)`
`\pi`r²h
Let us substitute:
V=
`(1)/(3)`×3.14×6²×16
=602.88 in³
The radius is half the diameter.(12in=d,r=
`(d)/(2)`=
`(12)/(2)`= 6 in)
pi was taken as 3.14

Answer 2

V=πr²
`(h)/(3)`

Radius = 12/2 = 6 in
Height = 16 in

V = 3.14*6²*16/3
V = 602.88

The volume would be: Volume = 602.88 in^3