Question 192983: Suppose you have 2000cm^2 of material to create a 3D figure with the greatest volume. The material can be formed into a square-based prism (cube), a cylinder or a sphere.
b) Determine the dimensions of the cylinder and sphere so that the volume is maximized.
c) Determine the volume of the cylinder and sphere.
Here are my answers. Are they correct?:
b) cube= 18.26 cm, cylinder radius= 12.6 cm Cylinder height= 12.7 cm, sphere radius = 12.6 cm
c) Cube: 6,088.4 cm^3 Cylinder: 12,568 cm^3 Sphere: 8,375 cm^3
If these answers are not correct, how do I solve these questions?
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! Suppose you have 2000cm^2 of material to create a 3D figure with the greatest volume. The material can be formed into a square-based prism (cube), a cylinder or a sphere.
b) Determine the dimensions of the cylinder and sphere so that the volume is maximized.
c) Determine the volume of the cylinder and sphere.
Here are my answers. Are they correct?:
b) cube= 18.26 cm, cylinder radius= 12.6 cm Cylinder height= 12.7 cm, sphere radius = 12.6 cm
c) Cube: 6,088.4 cm^3 Cylinder: 12,568 cm^3 Sphere: 8,375 cm^3
If these answers are not correct, how do I solve these questions?
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I got 8410 cc for the sphere.
I'll do the cylinder later this weekend.
email me via the thank you note to see how you did the cylinder.
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