# A spherical balloon is being inflated so that its volume increase uniformly at the rate of 4 0 c m 3 / m i n u t e. The rate of increase in its surface area when the radius is 8 c m is A

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 t (in seconds). b. If V is the volume of the balloon as a function of the radius, find V 0 r and interpret it.

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A spherical balloon is being inflated and the radius of the balloon is increasing at a rate of 6 cm/s. (a) Express the radius r of the balloon as a function of the time t (in seconds). r(t) = (b) A spherical balloon is being inflated so that its volume increases uniformly at the rate of 40 cm^3/min. When r = 8, then the increase in radius in the next 1/2 min is 12th A spherical balloon is inflated with gas at the rate of 800 cubic centimetres per minute.

## A balloon which always remains spherical, is being inflated by pumping in 900 cubic centimetres of gas per second. Find the rate at which the radius of the balloon is increasing when the radius is 15 cm.

Spherical balloon inflating. 1. How fast is the radius of the balloon changing at the instant the radius is 1ft and 2ft. 1.

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Let volume of the spherical balloon = V V = 4/3 𝜋𝑟^3 Since volume changes at 𝑎 constant 1. A spherical hot air balloon is being inflated at a rate of 1.5 cubic feet per second. a) Find how fast the radius of the balloon is changing when the radius is three feet. A spherical balloon is inflated with gas at the rate of 800 cubic centimeters per minute.

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How fast is the radius of the balloon increasing at the instant the radius A spherical balloon is being inflated at the rate of 10 cu in/sec. What is the rate of change of the area when the balloon has a radius of 6 in? A spherical balloon is inflated with helium at the rate of 200 cubic feet per minute. How fast is the balloon's radius increasing at the instant the radius is 5 feet?

Solved: A spherical balloon is inflated with helium at the rate of 100pi ft^3/min. How fast is the balloon's radius increasing at the instant the radius is 5 ft? - Slader.

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### A spherical balloon is being inflated and the radius is increasing by 2 ft/min. At what rate is the surface area of the balloon changing when the radius is 3 feet?

Problem 54 Easy Difficulty. A spherical balloon is being inflated and the radius of the bal-loon is increasing at a rate of 2 $\mathrm{cm} / \mathrm{s}$ . $\begin{array}{l}{\text { (a) Express the radius } r \text { of the balloon as a function of the time }} \\ {t \text { (in seconds). }} \\ {\text { (b) If } V \text { is the volume of the balloon as a function of the radius, }} \\ {\text a spherical balloon is inflated with gas at the rate of 500 cubic centimeters per minute. how fast is the radius of the balloon increasing at the instant the radius is 30 centimeters? Word Problem-Calculus. A spherical balloon is being inflated in such a way that its radius increases at a rate of 3 cm/min.

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