9) A spherical snowball is melting in such a way that its volume is decreasing at a rate of 3cm / min. At what rate is the radius decreasing when the radius is 12 cm?

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A: I will use the formula V=13πr2h and differentiation method to solve this problem.

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A: Formula of volume V=43πr3 Given: Radius, r=8 mm drdt=-1mm/month

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A: Volume of a sphere of radius r isV=43πr3

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Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.3 cm/min.…

A: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.3…

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min.…

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Q: 1. A spherical balloon is being inflated so that the volume is increasing at the rate of 5 ft.³ per…

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Q: Water is being poured at the rate of 27 m²/min. into an inverted conical tank that is 12-meter deep…

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Q: 9. A paper cup has shape of a cone with height 10 cm and radius 3 cm (at the top). If water is…

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Q: Imagine a sphere whose radius r increases at a rate of 3 cm/s. At what rate is the volume V of the…

A: Note the results : Volume of the sphere is 43πr3 . Suppose F is a function of x and x is a function…

Q: Suppose that a tumor in a person’s body has a spherical shape and that treatment is causing the…

A: we know that the volume of the sphere                       V=43πr3                          (1)

Q: A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.4 cm/min.…

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A: Let the length of the sides of the cube = xAnd the volume of the cube = V = x^3

Q: Suppose that a drop of mist is a perfect sphere and that, through condensation, the drop picks up…

A: proof:

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A: Given: S the surface area of the cube, x the length of the cube and the length x of the cube…

Q: Suppose that a tumor in a person's body has a spherical shape and that treatment is causing the…

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Q: If the original 24 m edge length x of a cube decreases at the rate of5 m/min, when x = 3 m at what…

A: If the original 24 m edge length x of a cube decreases at the rate of5 m/min, when x = 3 m at what…

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A: Volume of sphere: V = 43πr3, where r is radius of sphere. Surface area of sphere: S = 4πr2, where r…

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A: Given , Bacterial cell is in spherical shape.Let radius be 'r' μm . ∴ Volume of cell, v v = 43π…

Q: 2. Air is leaking from a spherical-shaped advertising balloon at the rate of 26 cubic feet per…

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Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.4 cm/min.…

A: To find the rate of decreasing of the volume when the radius is 10 cm.

Q: 3) Water is being poured at the rate of 2TT m3/min. into an inverted conical tank that is 12-meter…

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Q: 3. Water is being poured at the rate of 2 7 m3/min. Into an inverted conical tank that is 12-meter…

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