Question

Find the total surface area of the solid shown, correct to the nearest cm2

Answer 1

`550.44m^2`

Explanation:

You need both formulas to solve for area on a cone

`A=\pi rl+\pi r^2\\l=√(r^2+h^2)`

`A=\pi r(r+√(h^2+r^2))\\ =\pi *6.4*(6.4+√(17^2+6.4^2))\\ 493.90cm^2`(cone)

`A=2\pi r^2\\=2\pi 3^2\\=56.54m^2`(hemisphre)

`493.90+56.54=550.44m^2`