The value of the surface area (in square centimetres) of the cone is equal to the value of the volume (in cubic centimetres) of the cone. The formula for the surface area S of a right cone is S=πr2+πrl, where r is the radius of the base and l is the slant height. Find the height of the cone. Height:
cm

Please help Thank you

The height of the cone is 10.9 cm

Step-by-step explanation:

Step 1: Find the height of the cone by Applying the Pythagoras Theorem

12² = 5² + h²

144 = 25 + h²

h² = 144 - 25

h² = 119

h = 10.9 cm

So the height of the cone is 10.9 cm

Hope this helps!

y=mx+b is the final answer!   : )

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3