Answered: is r2h + 2/3r

Math

Calculus

is r2h + 2/3r

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.7: Distinguishable Permutations And Combinations

Problem 11E

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Question

A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If the silo is to have a volume of 489 ft³, determine the radius and height of the silo that requires the least amount of material to build. (Hint: The volume of the silo is r²h + 2/3r³, and the surface area (including the floor) is (3r² + 2rh). Round your answers to one decimal place.)