Helium is pumped into a spherical balloon at a rate of 2 cubic feet per second. How fast is the radius increasing after 2 minutes? Note: The volume of a sphere is given by V=(4/3)πr3. Rate of change of radius (in feet per second) =

Q: A gas balloon is being filled at a rate of 50π cm³ of gas per second. At what rate is the radius of…

A: Write the formula for the volume of the sphere and take the derivative.

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

A: The radius of the sphere is increasing at a rate of 5mm/sits diameter is 80 mm

Q: Air is being pumped into a spherical balloon so that its volume increases at a rate of 2…

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Q: Air is being pumped into a spherical balloon so that its volume increases at a rate of 60cm³/s. How…

A: To find the rate at which surface area is changing

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

A: Write the expression for the volume of the sphere and take the derivative then substitute the given…

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Q: Air is being pumped into a spherical balloon at a rate of 4.5 cubic inches per minute. How fast 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 radius of a circle is growing at a constant rate of 3 in./sec. (a) What is the area of the…

A: Introduction :

Q: Air is being pumped into a spherical balloon so that its volumeincreases at a rate of 100 cu. cm /s…

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Q: Water is flowing into a (inverted) conical reservoir 20 feet and 10 feet across the top, at the rate…

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Q: Gas is escaping from a spherical balloon at the rate of 3 cm3/min. Find the rate at which the…

A: The relation between surface area S and volume V of sphere is given by V=13S r where r is radius of…

Q: Helium is pumped into a spherical balloon at a rate of 2 cubic feet per second. How fast is the…

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Q: A faucet is filling a hemispherical basin of diameter 60 cmwith water at a rate of 2L/min . Find the…

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Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of…

A: let the length of rectangle is l cm and width is w cm area of rectangle is(A) =lxw differentiate…

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

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

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Q: 10. Gas is escaping from a spherical balloon at a rate of 2 cubic feet per minute. How fast is the…

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Q: The radius r and height h of a circular cone change at a rate of 2 cm/s. How fast is the volume of…

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Q: The surface area of a spherical snowball is increasing at a rate of 9 mm2/min. Find how fast the…

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Q: A balloon which maintains the shape of a sphere is being inflated. The rate of change of its volume…

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Q: The side of a cube increases at a rate of 2.5m/s. Find the rate at which the surface area increases…

A: As we know that; The expression of the surface area of the cube is: As=6a2        ....(1) Where;…

Q: A ball is being inflated such that the volume is increasing at a constant rate of 100cm3/s How fast…

A: Given  and

Q: #Ś A spherical balloon is filled with helium at a rate of 200 cmsec.At the moment when the radius is…

A: we have to find the rate change of surface area of the spherical balloon

Q: Suppose a spherical balloon grows in such a way that after t seconds, its volume V is given by V = 4…

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Q: #13 The radius of a sphecical blloon is increasing at the cate of 3inches per second, How fast is…

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Q: Q-4-A leak in a spherical balloon filled with gas allows the gas to leak at a rate of 3.5 m³ /min .…

A: Given that,       a leak in a spherical balloon filled with gas allows the gas to leak at a rate of…

Q: The radius of a circle is increasing at a rate of 2cm/s. How fast is the area of the circle…

A: We have given the rate of increasing the radius of a circle is i.e. dr/dr= 2cm/s

Q: t is 3 meters above the ground? 6. A spherical balloon is being inflated at the rate of 350 cm /min.…

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Q: A balloon has just been inflated. Calculate the instantaneous rate of change by which the area…

A: Introduction: A geometric shape with a sphere-like appearance. In three dimensions, the sphere is…

Q: The area of a circle increases at a rate of 6 cm /s. a. How fast is the radius changing when the…

A: Area of circle of radius r inA=πr2→dAdr=2πrdrdt→2πrdrdt=6      [∵dAdr=6cm2/sec]    -(1)

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: Air is being pumped into a spherical balloon so that its volume increases at a rate of 70cm³ /s. How…

A: Volume of the sphere , V =43πr3 ; where , 'r' is the radius of the sphere. Surface Area of the…

Q: a bush fire is burning a circular area whose radius is increasing at a rate of 3ft/min. how fast is…

A: A bush fire is burning a circular area whose radius is increasing at a rate of 3ft/min. its radius…

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Q: The radius of a sphere is increasing at a rate of 3 mm/s. How fast is the volume increasing when the…

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Q: A liquid spilled from a cracked tank spreads in a circle whose area increases at the rate of…

A: We know that  Area of circle = πr2

Q: The area of a circle increases at a rate of 6 cm /s. a. How fast is the radius changing when the…

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

A: As per bartleby answering guidelines we are supposed to answer only first question in case of…

Q: Helium is pumped into a spherical balloon at a rate of 3 cubic feet per second. How fast is the…

A: NOTE: Refresh your page if you can't see any equations. . Helium is pumped into a spherical balloon…

Q: Water is pouring into an inverted cone at the rate of 12 cubic meters per minute. If the height of…

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Q: The volume of a sphere is expanding where r = 2t. What is the rate of change in volume with respect…

A: First substitute the value of r=2t in volume ,and then differentiate it for finding the rate of…

Q: You are inflating a spherical balloon at the rate of 7 cm³/sec. How fast is it radius increasing…

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Q: 01/ Water poured into a conical tank through a faucet, this tank has a base radius of 5 ft and 10 ft…

A: according to our guidelines we can answer only three subparts, or question and rest can be…

Q: A spherical balloon is inflated with gas at the rate of 800 cubic centiermeters per minute. How fast…

A: The volume of spherical balloon is given by the formula, V=43πr3 where r is radius of the balloon.…

Q: Water is falling on a surface, wetting a circular area that is expanding at a rate of 10mm^2/s. How…

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Q: The volume of a cube increases at the rate of 59m3/sec The rate at which the side of the cube…

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