#Ś A spherical balloon is filled with helium at a rate of 200 cmsec.At the moment when the radius is 20 cm, how fast is the surface area of the halloon increasing ? V=まTレ。 Surface avea = %3D

Q: A spherical baloon is inflated at a rate of 100 cm3/sec. How fast is the radius changing, when the…

A: given  Diameter  D = 50 cmradius r = D2 = 25 cm and

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Q: 2. Oil leaks from a damaged, stationary oil tanker at the rate of 30 m3/hr, forming a circular oil…

A: The instantaneous rate of change is the differential of the variable. The rate of change of one…

Q: 8. Air is being pumped into a spherical balloon so that its volume increases at a rate of 36cm/s.…

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Q: Helium is being pumped into a spherical balloon at a rate of 5 cm3/min. Determine the rate at which…

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Q: -10 10 t Water is running into an open conical tank at the rate of 9 cubic feet per minute. The tank…

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Q: The radius of a circular oil slick expands at a rate of 8 m/min. (a) How fast is the area of the…

A: Write the expression for the area of the circle and take the derivative of it.

Q: 3) Air is being pumpedinto a spherical balloon so that its volume /s. How fast is the radius of the…

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Q: Q3:Oil is draining from a conical filter with adimension(6 in in diameter ,6 in height) into a…

A: Rate of change

Q: Helium is being pumped into a spherical balloon at a rate of 5 cm3/min. Determine the rate at which…

A: Given that, Rate of increase of volume is, dVdt = 5 cm3/min Diameter of balloon is (d) = 20 cm then…

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 hypotenuse AB of a right triangle ABC is constantly 5 in long. The side AC is increasing…

A: Solution:- we have to find the rate of change of the area of the triangle when AC is 3 in.…

Q: a) Let us assume that a soap bubble keeps its spherical shape as it expands. If air is blown into it…

A: (As per bartleby guidelines, for more than one question asked, only the first question will be…

Q: a. How fast is the level in the pot rising when the coffee in the cone is 6in Coffee is draining…

A: Given that,

Q: Air is being pumped out of a spherical balloon at the rate of 25 cm3/s. How fast is the radius…

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Q: The radius of a circular oil slick expands at a rate of 2 m/min. (a) How fast is the area of the oil…

A: Given, dr/dt = 2 m/min. (a) r = 29 m A = pi*r^2 dA/dt = (2*pi*r)(dr/dt) = 2*pi*29*2 = 116*pi…

Q: Stephanie is standing atop at 13 ft ladder. The ladder is leaning against a vertical wall. The…

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Q: A spherical balloon is inflated with an air over time. When the radius of the balloon reaches 2 cm…

A: r= 2 cm drdt= 0.5 cm/min

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: O H.W3: A spherical balloon is inflated at a rate of 100 cm3 /sec. How fast is the radius changing…

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Q: 4. The surface area, S, of a sphere of radius r feet is S = S(r) = 4rtr2. Find the instantaneous…

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Q: m³ The volume of a large spherical balloon is increasing at a rate of 64 balloon's surface area…

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Q: Air is being pumped into a spherical balloon so that its volume increases at a rate of 80cm3/s. How…

A: Air is being pumped into a spherical balloon so that its volume increases at a rate of 80cm3/s. To…

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 radius of a circular oil slick expands at a rate of 5 m/min. (a) How fast is the area of the oil…

A: Given,  drdt = 5 m/minArea(A) = πr2       dAdt=2πrdrdta) r = 25m    dAdt=2π255          =  785.4…

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: 10. A rectangular trough is 10 ft long and 3 ft wide. Find how fast the surface rises, if the water…

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Q: A prototype container has a shape of an inverted cone with a height of 100 cm. and top radius of 20…

A: Here we are given an inverted cone which is being filled with water at a certain rate. So to…

Q: the hypotenuse AB of a right triangle ABC is constantly 5 in long. The side AC is increasing…

A: Given that the hypotenuse AB of a right triangle ABC is constantly 5 in long. and the side AC is…

Q: Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. It forms a pile…

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Q: The spherical balloon is being filled at a constant rate of 3cm/sec. How fast is the radius…

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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: Water is flowing into a conical reservoir 20 ft. deep and 10 ft. across the top, at the rate of 15…

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Q: 0. A plastic container in the shape of a cylinder is being filed with coconut juice at the rate of…

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Q: A baseball diamond is a square with side 90 ft. A batter hitsthe ball and runs toward first base…

A: Consider x is the distance batter has run at time t. And D is the distance from second base to the…

Q: A spherical balloon is being inflated. Find the rate of increase of the surface area (S = 4ar2 )…

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Q: Air is being pumped into a spherical balloon so that its volume increases at a rate of 20cm³ /s. How…

A: We have given the  Rate of change in volume = 20cm3/sec  We have to find the change in surface area…

Q: : B1. The radius of a sphere increases at the rate of 4 m/sec. Find the rate at which the volume of…

A: We have to find the rate of volume increase.

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: A conical cup is 6 inches tall, and the top of the cup has a radius of 3 inches. Water is being…

A: Given, The volume of a cone of height h and radius r is given by, v=13πr2h Here we use the units,…

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

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

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: Q3: Water is being poured into a hemispherical bowl of radius 3 inches at the rate of 1 in/s. How…

A: Solve

Q: A snowball is rolling down a hill. As the snowball rolls, it picks up more snow and gets larger. If…

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Q: A spherical balloon is being filled in such a way that the surface area is increasing at a rate of…

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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: 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: Air is being pumped into a spherical balloon so that its volume increases at a rate of 40 m s1. How…

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