A spherical balloon is being inflated so that its volume increase uniformly at the rate of 40cm^3 /minute . The rate of increase in its surface area when the radius is 8 cm is.

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Let the volume of the balloon at time t be V and let the radius be R; V= (4/3)πR^3. The rate of change of the volume with time is dV/dt = 4πR^2*(dR/dt) However, dV/dt = 10, hence 4πR^2*(dR/dt) = 10. Hence, dR/dt = 10/(4πR^2). Let the surface area

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b. If V is the volume of the balloon as a function of the radius, find V 0 r and interpret it. Ex 6.1, 8 A balloon, which always remains spherical on inflation, is being inflated by pumping in 900 cubic centimeters of gas per second. Find the rate at which the radius of balloon increases when radius is 15 cm. Balloon is spherical Let r be the radius of spherical balloon . A spherical balloon is being inflated and the radius of the balloon is increasing at a rate of 2 cm/s.(a) Express the radius r of the balloon as a function of the time it (in seconds).(b) If V is the volume of the balloon as a function of the radius, find V ? A spherical balloon is being inflated and the radius of the balloon is increasing at a rate of 3 cm/s.

If Initially Its Radius is 3 Units and After 3 Seconds It is 6 Units. Find the Radius of  Jan 14, 2021 Get the detailed answer: A spherical balloon is being inflated so that its diameter is increasing at a rate of . How quickly is the volume of the  Sep 1, 2020 A spherical balloon is being inflated and the radius of theballoon is increasing at a rate of 2 cm/s.(A) Expre… Get the answers you need, now!

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The balloon can be inflated with helium to float or with a balloon air inflator. All our chains are classified as heavy duty being made of iron with steel rivets.

A spherical balloon is being inflated

The rate of increase in … A spherical balloon is inflated with gas at the rate of 800 cubic centimetres per minute. How fast is the radius of the balloon increasing at the instant the radius is a).

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A spherical balloon is being inflated

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If the volume of the balloon is 0 at time 0, at what rate is the volume increasing after 5 minutes? my answer is 45 cm/min. is Question 160801: A spherical balloon is being inflated. Estimate the rate at which its surface area is changing with respect to the radius when the radius measures 20 cm.


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10 Dec 2013 1) A spherical balloon is being inflated so that its volume is increasing at the rate of 5 cubic meters per minute. At what rate is the diameter 

The rate of increase in surface area (in cm2 / ) 100 (B) 10√10 (C) √10 (D) 10. The volume of spherical balloon being inflated changes at a constant rate. If initially its radius is 3 units and after 3 seconds it is 6 units.