Question

Find the surface area of the cone in terms of pi
17 cm height
3 cm radius
Not drawn to scale

Answer 1

Answer:

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

Step-by-step 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:

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