What is the surface area of the right cone below? Radius 8 Slanted height 14 A. 896 units2 B. 1677 units2 C. 1767 units2 D. 2247 units

Question

AZ · Answer

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L is the slant height

r is the radius

h is the height

and so it forms a right triangle and you can use Pythagorean theorem
$ r^2 + h^2 = L^2$

you know that the radius is 8 and that the slant height is 14, so what is the height of the cone?

jaredc4 · Answer

alright

AZ · Answer

$\Large\sf  Surface~ area = A=πr(r+\sqrt{h^2+r^2})$

AZ · Answer

Actually, there's a much better formula

$\ \Large \text{SA} = \pi r l + \pi r^2$

$ l = \text{slant height}$
$ r = \text{radius}$

and so plug in r = 8 and l = 14

$\text{SA} = \pi(8)(14) + \pi(8^2)$

SA = ??

jaredc4 · Answer

alright thanks

jaredc4 · Answer

it dint come with a diagram sadly

AZ · Answer

Are you sure you gave the right numbers though?

The answer choices you provided don't look correct