10 cm 10 cm WebAssign Plot a Find the circumference Cof the

10 cm 10 cm WebAssign Plot (a) Find the circumference Cof the opening of the cup. Cm (b) Find the radius r of the opening of the cup. [Hint: Use CE 23tr.] Cm (c) Find the height h of the cup. [Hint: Use the Pythagorean Theorem.J Cm (d) Find the volume V of the cup. cm3 10 cm

Solution

a) Arc length of uncut portion of circular piece of paper = 2pi*r (2pi - 9pi/5)/2pi = r*(pi/5)

= 10*pi/5 = 2pi cm

Now circumference of conical cup = 6.28 cm

b) radius of conical cup : 2pi*r1 = 2pi

r1 = 1 cm

c) Height^2 + radius^2 = slant height^2

h^2 + 1^2 = 10^2

h = sqrt(99) = 3sqrt11 = 9.95 cm