+129850 1. 2pi r = 6
r = 6/(2pi) = 3/pi
Volume = pi (r^2) h = pi * (3/pi)^2 * 10 = 90 / pi
2. L = sqrt [ 5^2 + 3^2] = sqrt [ 34]
Lateral surface area of cone = pi ^ r * L = pi * 3 * sqrt [34] = 3sqrt (34) pi
Lateral surface area of cylinder = 2pi r * h = 2 pi * 3 *5 = 30 pi
A/B = [ 3sqrt (34) pi ] / [ 30 pi ] = [sqrt (34) / 10 ]
3. Circumference of cone = 2pi * 20 * (216/360) = 24pi
radius of cone
24pi = 2pi r
24 = 2r
r =12
Height of cone = sqrt [ 20^2 - 12^2 ] = sqrt [ 400 - 144] = sqrt 256 = 16
Volume of cone = (1/3) pi * r^2 * h = (1/3) pi (12^2) * 16 = 768 pi
