Question

Find the slant height of a cone with a surface area of 282.74 ft. sq. and a diameter of 10 ft.
A)13
B)14
C)12
D)15

Answer 1

Surface Area Of Cone = \[\pi rl + \pi r^2\] where, l is Slant height and r is radius..

D= 10ft, So r = 10/2 = 5..

SA = 282.74
So, 282.74 = (3.14)(5)*l + (3.14)(5)(5)

282.74 - 78.5 = 15.7*l

l = 204.24/15.7 = 13.00 (approx)..

So, the Slant Height is 13.. Answer A)...

Answer 2

thats alot of work ! thank you again.

Answer 3

Welcome dear...