Question

If the volume of a cone is 96 and it has a radius of 6, then what is the surface area?

Leave in terms of pi

Answer 1

75.102π

Explanation:

Surface area is given by

SA=
`\pi rl+\pi r^2`

Volume 'V'=
`\pi r^2(h)/(3)`

lets determine 'h'

(96 x 3)/ π6² = h

h= 2.546 unit

Length 'l' =
`√(r^2+h^2)` =>
`√(6^2+ 2.546^2)`

l= 6.517 unit

substituting all the required values in surface area formula

SA= (π x 6 x 6.517) + (π x 6²)

SA= 39.102π + 36π

SA= 75.102π

Thus, the surface area is 75.102π