A pill is being manufactured that has the shape of a cylinder with hemispheres attached to both ends. The length of the pill is 22 millimeters and its diameter is 8 millimeters as shown. (a) Find the volume of the pill to the nearest cubic millimeter. 22 mm (b) Does the spherical portion of the pill make up more or less than a quarter of the total volume? Justify your answer. 8 mm

A pill is being manufactured that has the shape of a cylinder with hemispheres attached to both ends. The length of the pill is 22 millimeters and its diameter is 8 millimeters as shown. (a) Find the volume of the pill to the nearest cubic millimeter. 22 mm (b) Does the spherical portion of the pill make up more or less than a quarter of the total volume? Justify your answer. 8 mm

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Concept explainers

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.

Question

A pill is being manufactured that has the shape of a cylinder with hemispheres attached to both ends. The
length of the pill is 22 millimeters and its diameter is 8 millimeters as shown.
(a) Find the volume of the pill to the nearest cubic
millimeter.
22 mm
(b) Does the spherical portion of the pill make up more or less than a quarter of the total volume? Justify your
answer.
8 mm

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