A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If the silo is to have a volume of 513π 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 πr2h + 2 3 πr3, and the surface area (including the floor) is π(3r2 + 2rh). (Round your answers to one decimal place.)
A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If the silo is to have a volume of 513π 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 πr2h + 2 3 πr3, and the surface area (including the floor) is π(3r2 + 2rh). (Round your answers to one decimal place.)
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter81: Introduction To Computer Numerical Control (cnc)
Section: Chapter Questions
Problem 4A: A rectangular solid has length L=12.6 mm, width W=23.8 mm, and height H=32.5 mm. Find the length of...
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A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If the silo is to have a volume of 513π 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
πr2h +
πr3,
2 |
3 |
and the surface area (including the floor) is π(3r2 + 2rh). (Round your answers to one decimal place.)
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