Question

Find the surface area of the cone in terms of pi

17 cm height
3 cm radius
Not drawn to scale

Answer 1

`60\pi\:\mathrm{cm^2}`

Explanation:

The total surface area of a cone with radius
`r` and slant height
`\ell` is equal to
`SA=\pi r\ell+r^2\pi`.

What we're given:

• 
  `r` of 3 cm
• 
  `\ell` of 17 cm

Substituting given values, we get:

`SA=3\cdot 17\cdot \pi+3^2\pi,\\SA=51\pi+9\pi,\\SA=\boxed{60\pi\:\mathrm{cm^2}}`