Begin with a circular piece of paper with a4-in. radius as shows 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 bas eofthe cone is \(\displaystyle{8}{\left(\pi\right)}-{x}\).

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 afunction of x.