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The solid shown consists of a right circular cylinder of diameter d and altitude h, surmounted by a cone of diameter of base d and altitude h/2.
(a) Write a formula for the volume.
(b) Find the volume, given d = 4.42 in. and h = 5.17 in.
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| Photo by Math Principles in Everyday Life |
Solution:
Consider the volume of right circular cylinder
Consider the volume of right circular cone
If h = h/2, then
The combination of the volume of right circular cylinder and right circular cone is
