Cylinders
A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.
Cones
A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.
Filling a Conical Tank Water is poured into a container
in the shape of a right circular cone with radius 4 feet and
height 16 feet. See the figure. Express the volume V of the
water in the cone as a function of the height h of the water.
![[Hint: The volume V of a cone of radius r and height h is
v = ar'h.]
16
h](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7d7a79bb-044b-44cd-bab6-6eb3f72f88f1%2F65e77663-60fb-475d-bc98-abd06b2e3a9f%2Flb1qstc_processed.png&w=3840&q=75)
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