find the surface area of the cone below. leave your answer in terms of π. surface area of a cone sa = πrℓ +…

find the surface area of the cone below. leave your answer in terms of π. surface area of a cone sa = πrℓ + πr² sa = ?π cm²

find the surface area of the cone below. leave your answer in terms of π. surface area of a cone sa = πrℓ + πr² sa = ?π cm²

Answer

Explanation:

Step1: Find the slant - height $\ell$

Use the Pythagorean theorem $\ell=\sqrt{8^{2}+6^{2}}=\sqrt{64 + 36}=\sqrt{100}=10$ cm.

Step2: Calculate the surface area

Given the formula $SA=\pi r\ell+\pi r^{2}$, with $r = 6$ cm and $\ell=10$ cm. $SA=\pi\times6\times10+\pi\times6^{2}=60\pi+36\pi$. $SA = 96\pi$ $cm^{2}$.

Answer:

$96\pi$