Use the PythagoreanTheoremto find the slantheight:Now use the area formula.Volumeof a Cone
Whichhas a greatervolume,a pyramid,cone,or cylinderif the figureshavebaseswith the same“diameter”
(i.e., distanceacrossthe base)and the samealtitude?To find out, comparepyramids,cylinders,and cones
that havebaseswith equaldiametersand the samealtitude.
Hereare threefiguresthat havethe samedimensions—cylinder, a right regularhexagonalpyramid,and a
right circularcone.Whichfigureappearsto havea greatervolume?