Question by TylerWu: A martini glass has the shape shown, and is filled with wine. A spherical ball of?

A martini glass has the shape shown, and is filled with wine. A spherical ball of radius R is gently lowered into the glass, causing it to overflow. Find the volume V of fluid that overflows, and determine the value of R which maximize V. Math 138 Calculus-volume-

Best answer:

Answer by ironduke8159
No shape is shown.

What do you think? Answer below!

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2 Comments

  1. liz k says:

    Ironduke is right, no picture is shown. If you want help do the decency of NOT just copying the question out of the book. Make it so people here can understand. Do you assume the ball is completely lowered in the glass? Is the glass completely filled with wine all the way to the rim? The total volume of the martini glass, which I am assuming is a cone, is 1/3*pi*r^2*h. The volume of the sphere is 4/3*pi*r^3. Remember the two r’s may be different. If the ball is put completely into the cone-shaped glass the volume of wine that pours out is equal to the volume of the sphere. But thats only if the glass was filled all the way to the rim.

  2. manjyomesando1 says:

    seeing no shape here. but i’m assuming the inverted right conical glass you should be showing. but i’m not answering a vague question on YA, but i’ll make it my homework. later.

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