Answer:
A cone with a diameter of 18ft and a slant height of 30ft
Using Pythagorean theorem, the height is calculated by:
H = sqrt(18^2 - (30/2)^2) = 9.95
The surface area:
A = lateral surface area + base
A = pi x radius x slant height + pi x radius^2
A = pi x (30/2) x 18 + pi x (30/2)^2 = ~1555.1 (ft2)
The volume:
V = base x height x (1/3)
V = pi x radius^2 x height
V = pi x (30/2)^2 x 9.95 = 7033.2 (ft3)
Hope this helps!
:)
