Step-by-step explanation:
π×r² gets you the surface area of the circle on the bottom. You gotta remember πr². So π×(6cm)² = π×36cm² = 36π cm²
π×L×r gets you the surface area of the cone shape, where L is the diagonal length of the cone, or "sLant height". There are reasons, but I just trust the math pros on this. REMEMBER THIS.
a²+b²=c². Remember that? Pythagorean theorem. you can use it to figure out the length of the sides of a right triangle. This cone has a right triangle. Let's use it.
6²+8²=c², so 36+64=c², so 100=c², so c=[tex]\sqrt{100}[/tex]=10, AKA the diagonal L for our problem.
Ok, π×L×r gives us the area of the cone. r=6 L=10, making the cone have a surface area of 10cm×6cm×π = π×60cm² = 60πcm²
...And the bottom circle is 36π cm², So 36π+60π=96π
This is important to know. Are you sure you didn't just scan your whole homework paper?
Answer:
36π+60π cm². Or 96π cm².
