Mathematics, 03.12.2020 16:50 elizabethg56

Alice's magical cake in the shape of a half-sphere was placed in a box as shown. When she took her pill that night the cake and box grew at rates to maintain tangency. Find the rate at which the space between the cake and the box is growing when the top of the cake box has an area of 100ft2 and the perimeter of the top of the cake box is growing at 32ft/min. (Vsphere = 3 4 π r 3 )

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Alice's magical cake in the shape of a half-sphere was placed in a box as shown. When she took her p...