What is the rate of change of the volume of a ball (V = (4/3)pai r3 ) with respect to the radius when the radius is r = 2

Q: A spherical snowball melts at a rate of 36π^2in³/sec. At what rate is the radius of the snowball…

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Q: If a snowball melts so that its surface area decreases at a rate of 1cm /min, find the rate at which…

A: Diameter= DRadius = r =D/2Surface area = A= 4pi*r^2Given dA/dt= -1 cm^2/min (negative because…

Q: The radius of a sphere decreases at a rate of 1 m/se decreases when the radius is 15 m

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Q: 2. A spherical snowball melts at a rate of 367T in /sec. At what rate is the radius of the snowball…

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Q: What is the rate of change of the areaof a circle (A = pr2) with respect to the radius when the…

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Q: The radius of a spherical balloon is decreasing at a rate of in/sec.

A: Radius of balloon = r = 4 inchesDecreasing rate of balloon = drdt = -2πinches/secondVolume of…

Q: The volume of a sphere is increasing at a rate of 4 cm3/sec. Find the rate of change of its surface…

A: We will use derivative as rate of change

Q: Find the rate of change of the volume of a cone with a constant height of 5 m with respect to radius…

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Q: What is the rate of change of the area of acircle (A = pai r2) with respect to the radius when the…

A: The radius of a circle is r=3 units. The formula for area of circle is given by A=πr2

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Q: Find the rate of change of area of the square in m/s with respect to its side when the sides, s, is…

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Q: The volume of a metal in a hollow spherical is constant. If the inner radius is increasing at thr…

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Q: The radius R of a circle is increasing at the rate of 1 cm per sec. How fast is the area changing…

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Q: A spherical snowball melts at a rate proportional to its surface area. Show that the rate of change…

A: Given that spherical snow ball melts at a rate proportional to its surface areaShow that rate of…

Q: The radius of a spherical balloon is decreasing at a rate of 2 - in/sec. Which of the following is…

A: As we know that the expression for the volume of the sphere: v=43πr3 Where; ''r'' is the radius of…

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Q: Consider a pool shaped like the bottom half of a sphere, that is being filled. The radius of the…

A: The volume of hemisphere filled with liquid to height h = πrh2-π3h3

Q: What is the rate of change of the volume of a ball (V = (4/3)πr3) with respect to the radius when…

A: Given: volume v=43πr3 for finding rate of change of volume with respect to radius r, we…

Q: A car is slowing down at the rate 0.8 ft/sec². How far will the car move before it stops if its…

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Q: Assume a circle is expanding with time, where r = t + 2. What is the formula for the rate of change…

A: Given: r = t + 2   We know that the area of the circle: A = π r2   where r is radius.

Q: What is the rate of change of the volumeof a ball (V = (4>3)pr3) with respect to the radius…

A: The volume of a ball with radius r is given by V=43πr3 Recall that the rate of change is given by…

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Q: The cone is 12 cm tall and has a radius of 4 cm. If the ice cream fills the cone evenly at a rate of…

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Q: A spherical balloon is expanding. If the radius is increasing at the rate of 2 inches per minute, t…

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Q: find the rate of change of the circumference of a circle when the area is increasing at the rate of…

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Q: The side of a cube decreases at a rate of 7 m/sec. Find the rate at which the volume changes, when…

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Q: A cube is expanding at the rate of change 64 m³/s. What is the rate of change of its surface area…

A: This question is based on application of derivative.

Q: The volume V of a right circular cone of radius r and height h is given by V = 1/3 πr2h. a) What is…

A: Simply take derivative with respect to given variable considering other as constant.

Q: 15. Gas is being pumped into a spherical balloon at the rate of 10 cubic inches per second. When the…

A: NOTE: Refresh your page if you can't see any equations. . here we have the diameter is 30 inches so…

Q: A Fluid flows in an inverted conical tank, 14 in diameter on top and 24in deep at a rate of…

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Q: Find the rate at which the volume of a right circular cylinder of constant altitude 10 ft changes…

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Q: What is the average rate of change of y = cos(2x) on the interval 0,? a. = b. -1 с. О d. 4 e.

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Q: ce of a circle is increasing at a rate of 2 cm/s. rea increasing when r= 6 cm?

A: We have to choose the correct answer from the given options according to the given information

Q: a spherical balloon is filled with gas at a rate of 300 mm3/sec. Find the rate at which the surface…

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Q: As an orange grows, the rate of change of the radius r of the orange is inversely proportional to…

A: Given query is to find differential equation.

Q: D A child is rolling a spherical snowball with an outer 1) Tayer of ice so that the volume Of the…

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Q: A spherical balloon is deflated at a rate of 10 cm3 s-1. Find the rate change of the surface area…

A: given: A spherical balloon is deflated at a rate of 10 cm3s-1. we have to find the rate change of…

Q: If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate at…

A: Given,Surface area is decreasing at rate = 3 cm2 per minDiameter of the snowball (d) = 11 cm

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Q: Find the rate of change. Volume V of a cylinder with respect to radius if the height is equal to the…

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Q: Let A be the area of a circle with radius r that is increasing in size with respect to time. If the…

A: We have to find rate of change of the radius when radius is 6 cm and rate of change of area is given…

Q: How can you relate the rate of change for the surface area of a cube (dSA/dt) as compared with its…

A: we know that surface areaS.A. and volumeV of cube is given by S.A.=6l2…

Q: The volume of a sphere is increasing at a rate of 8 cm3/sec. Find the rate of change of the radius…

A: Given : V= 32π/3 cm3              dV/dt = 8 cm3 /sec

Q: The diameter of a sphere is 5(2x+ 5), the rate of change of its surface area with respect to x is

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