The radius of a sphere initially zero increases at the rate of 4mm/s. Find how fast is the volume increasing at t=2 sec.

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Q: An engineer is experimenting with a cylindrical can with a fixed height of 15 in. Find the rate of…

A: GIVEN-  A CYLINDER OF HEIGHTS 15 inch is given AND RADIUS =4 inch TO FIND -  RATE OF CHANGE OF…

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Q: A spherical balloon is being filled with air at the constant rate of (2 cm3)/(sec). How fast is the…

A: Given that  A spherical balloon is being filled with air at the constant rate of (2 cm3)/(sec). This…

Q: a. Air is being pumped into a spherical ball in such a way that the volume increases at a rate of 10…

A: Given: Volume of sphere is increasing at a rate of 10 cm^3/sec.

Q: A spherical balloon is inflating at a rate of 277T in³/sec. How fast is the radius of the balloon…

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Q: A spherical balloon is inflating with helium at a rate of 192n ft° / min. How fast is the balloon's…

A: V=43πr3S=4πr2

Q: The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing when the…

A: Given that the diameter= 100 mm So the radius is=r=1002=50 mm Given that the radius of a sphere is…

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Q: The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing (in…

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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 of a sphere is increasing at a rate of 4mm/s. How fast is the volume increasing when the…

A: The rate of change of the radius of the sphere, drdt = 4 mm/s To evaluate : The rate at which the…

Q: The volume of a cube is increasing at the rate o 8 cm³/sec.How fast is the surface area increasing…

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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 snow ball is being made so that its volume is increasing at the rate of 8 ft /min. What…

A: given: dVdt=8 ft3 /min We have to find drdtwhen diameter of snowball is 4 ft i.e, radius= 2ft we…

Q: A cylindrical tank has a radius of 7.0 m and a depth of 17.0 m. It is being filled at a rate of 2.9…

A: Consider the given: Radius = 7 mDepth = 17 mRate at which the tank is filled = 2.9 m3/minVolume of…

Q: A spherical balloon is inflated so that its volume is increasing at the rate of 7 ft^3/min. How fast…

A: given: A spherical balloon is inflated so that its volume is increasing at the rate of 7 ft^3/min.…

Q: The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing when the…

A: Let be the volume and r be the radius of the sphere respectively.

Q: The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing when the…

A: Volume of sphere= =43πR3 where R is the Radius of the sphere.

Q: side

A: Please refer to the image below

Q: A spherical balloon is inflated so that its volume is increasing at the rate of 2.2 ft^3/min. How…

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Q: Water is flowing into a vertical cylindrical tank at the rate of 5cu.ft/min. if the radius of the…

A: The volume of a cylinder:,V = πr2hWhere, V = Volume of the cylinder  r = Radius of the base  h =…

Q: The volume of a cube is increasing at the rate of 8 cm /sec.How fast is the surface area in creasing…

A: We can find the answer as below

Q: The surface area of a sphere, initially zero, increases uniformly at 4 square inches pe second. Find…

A: Since you have asked multiple questions here, we will solve the first question for you. To get the…

Q: The radius of a sphere is increasing at a rate of 4 mm /s. How fast is the volumeincreasing when the…

A:

Q: A spherical snowball is melting. Its radius decreases at a constant rate of 2 cm per minute from an…

A: Differentiation is the rate of change of some variable with respect to the other variable. If a…

Q: The volume of a sphere is increasing at a rate of 40 cm^3/sec. At what rate is the radius ofthe…

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Q: The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing when the…

A:

Q: A spherical balloon is inflated so that its volume is increasing at the rate of 2.8 ft^3/min. How…

A: Given  dVdt=2.8  ft3/ min and D=1.6 ft

Q: A spherical balloon is inflated so that its radius (r) increases at a rate of 1/3cm/sec. How fast is…

A: Vloume(V)=43πr3Differentiate w.r.t tdVdt=43π.3r2.drdt

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

A:

Q: A spherical balloon is inflated so that its radius increases at a rate of cm/sec. How fast is the…

A: Volume of the sphere is given by:  V = 43πr3

Q: The radius of the sphere is decreasing at a rate of 2in/min. What is the rate of change of its…

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Q: A cube is expanding in such a way that the length of its diagonal is increasing at a rate of 5…

A: Let y be the diagonal, x be the length of an edge and V be the volume of the cube at any time t.…

Q: The radius of a sphere, initially zero, increases at the rate of 6ft per sec. Find how fast the…

A:

Q: The radius of a sphere, initially zero, increases at the rate of 6 ft per second. How fast the…

A: Given ,The radius of a sphere , initially zero , increases at the rate of 6 per second.The volume is…

Q: A conical glass whose radius is 5m and altitude 12m is being filled at the rate of 10 cu. m/sec. How…

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Q: A spherical balloon is inflating with helium at a rate of 48π ft^3/min. How fast is the​ balloon's…

A: Let V be the volume of a spherical balloon with radius r at any time t.

Q: The volume of the cube is increasing at the rate of 8 cm3 /sec.how fast is the surface area…

A:

Q: The spherical balloon is being filled with air at the constant rate of ( 2cm3  ) / (sec). How fast…

A: Given: The spherical balloon is being filled with air at the constant rate of 2cm3/sec We know that,…

Q: coffee is draining out of a conical filter at a rate of 2.25 inches cubed per minute. If the cone is…

A: given: coffee is draining out of a conical filter at a rate of 2.25 inches cubed per minute. If the…

Q: The radius of an air bubble is increasing at the rate of 1/2 cm/s.At what rate is the volume of the…

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Q: The radius of a sphere is increasing at a rate of 4mm/s.How fast is the volume increasing when the…

A: Given that the radius of a sphere is increasing at a rate of 4mm/s. That is, Now consider the…

Q: A snowball is being made so that its volume is increasing at the rate of 8 ft3/min. Find the rate at…

A: The geometrical figure of a snowball is a sphere. The volume of a sphere of radius r is V=4/3×πr3.…