Question

The slant height of the cone is 16 inches and the total area is 120 pi square inches, find the height of the cone?

Answer 1

@amistre64

Answer 2

r²+16r-120=0
r²+height²=16²
using the above two equations h can be found out

Answer 3

Basically 15 in.

Answer 4

yeah i am with @sillynikki1 but exacally its The height is 14.83 inches.

Answer 5

what is the formula of TA?

Answer 6

@Hannah_Waller how did you get the r value?

Answer 7

@Hannah_Waller here

Answer 8

@sillynikki1

Answer 9

how did you get h from this:
r²+16r-120=0
r²+height²=16²

Answer 10

SA = πr²+πrl
120π = πr²+16πr
0 = πr²+16πr - 120π
r=5.56, r=-21.56

16² = h² + 5.56²
(16²-5.56²)^(1/2) = h
15 = h