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 2 years ago
A crystal ball with a diameter of 2r inches is being packaged for shipment. If the crystal ball is placed inside a circular cylinder with radius r inches and height h inches, how much volume will need to be filled with padding? Assume r = 6, h = 12. (The volume of a sphere with radius r is 4πr3/3, and the volume of a right circular cylinder with radius r and height h is πr 2h.)
 2 years ago
A crystal ball with a diameter of 2r inches is being packaged for shipment. If the crystal ball is placed inside a circular cylinder with radius r inches and height h inches, how much volume will need to be filled with padding? Assume r = 6, h = 12. (The volume of a sphere with radius r is 4πr3/3, and the volume of a right circular cylinder with radius r and height h is πr 2h.)

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tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.0Volume of cylinder  volume of sphere. Just substitute for r and h as is given in the problem.

kellychick
 2 years ago
Best ResponseYou've already chosen the best response.0So then it would be 3.14*6^2*12?

tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.0Start with the volume of the cylinder, whose formula is given to you in the problem, (π)(r)(2)(h). Can you make the substitutions for r and h that are given in the problem? Just saw your answer. That formula for the volume of a cylinder contains a factor of 2 x r, not r^2.

kellychick
 2 years ago
Best ResponseYou've already chosen the best response.0okay so, (3.14)(6)(2)(12) should give you the answer correct?

tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.0That's the volume of the cylinder, which is the first part. Read my first post for your next step.

kellychick
 2 years ago
Best ResponseYou've already chosen the best response.0okay so i take that answer, and then subtract it from the volume of a sphere?

tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.0The volume of a sphere is not 4πr3/3 as you have it in your problem statement. It's (4πr^3)/3. You're having a small problem with writing out the formula. Use either "^" for the exponent or the equation tool. And careful about which way you perform subtraction. That particular mathematical operation is not commutative, that is, ab does not equal ba.

kellychick
 2 years ago
Best ResponseYou've already chosen the best response.0okay, well the volume of the sphere is 288. and the volume of a cylinder is 144..

tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.0Better check your math on both of those volumes. I suggest writing out your work here (type it out) so I can see where you went wrong. Start with the volume of the cylinder.

kellychick
 2 years ago
Best ResponseYou've already chosen the best response.0or is it (pi)(6)^2(12) which would equal 432
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