Question

The base area of a cone is 27.4 in2 and the volume is 54.8 in3. What is the height of the cone?

Answer 1

Given: Base area of cone i.e.,
`A = \pi r^2=27.4 \ {in}^2`

and Volume of cone i.e.,
`V = (1)/(3) \pi r^2 h = 54.8 \ in^3`

Since,
`\pi r^2=27.4`

Substituting above in:
`(1)/(3) \pi r^2 h = 54.8`, we get:

`(1)/(3) (27.4) h = 54.8`

i.e.,
`h = 54.8 ((3)/(27.4))`

i.e.,
`h = 2(3)`

i.e.,
`h = 6 \ in`