Question

This is Geometry: To the nearest hundredth, find the surface area of a cone whose slant height is 9 centimeters and that has a base with radius 6 centimeters.

Answer 1

169.65

Answer 2

:D

Answer 3

90*Pi for the whole cone including the base

90*Pi=282.74

Answer 4

169.64 is without the base

Answer 5

169.65*

Answer 6

do you know the formula?

Answer 7

not really

Answer 8

ok I'll tell you:

\[SA=\pi rl +\pi r^2\]

r is the radius of the base and l is the slant length.

The base portion of the formula is the Pi*r^2 which is just the area of a circle. The first area is the area of the cone part. To get this we cut the cone and unfold it so that it is a sector of a circle with radius l (slant length) and arc length 2*Pi*r. The portion of the whole circle is 2Pi*r/(2Pi*l) and the area of the whole circle would be Pi*l^2 so we multiply them together:
\[\frac{2 \pi r}{2 \pi l}\pi l^2=\pi r l\]

that's where the first part of the equation comes from

Answer 9

Thank you soo much for that i will print it out :D

Answer 10

you're welcome :)