Begin with a circular piece of paper with a 4-in. radius as shown in (a). Cut out a sector with an arc length of x. Join the two edges of the remaining portion to form a cone with radius r and height h, as shown in (b).

(a) Explain why the circumference of the base of the cone is 8π - x.
(b) Express the radius r as a function of x.
(c) Express the height h as a function of x.
(d) Express the volume V of the cone as a function of x.

Transcribed Image Text:

(a) 4 in. hi (b) 4 in.