7. Consider a balloon having a spherical shape with volume given by V = (4/3) Tr³. Suppose the balloonis inflating at a rate of dv/dt = 2400 cm³/min. Find dr/dt, the rate of increase in the radius, when the radiusof the balloon is r = 20 cm. Include the units of measurement in your answer.

A balloon having a spherical shape with volume The balloon is inflating at a rate of We need to find…

Answered: 7. Consider a balloon having a…

PREALGEBRA

15th Edition

ISBN:9781938168994

Author:OpenStax

Publisher:OpenStax

Chapter9: Math Models And Geometry

Section: Chapter Questions

Problem 488PT: A coffee can is shaped like a cylinder with height 7 inches and radius 5 inches. Find (a) the...

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the weight W of a steel ball bearing varies directly with the cube of the bearing's radius r according to the formula W= 4/3 pi(p)(r)^3, where p is the density of the steel. The surface area of a bearing varies directly as the square of its radius because A = 4 pi(r^2) a. Express the weight W of a bearing in terms of its surface area b. Express the bearing's surface area A in terms of its weight. c. For steel, p = 7.85 g/cm^3. What s the surface area of a bearing weighing 0.62 g?

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7. Consider a balloon having a spherical shape with volume given by V = (4/3) Tr³. Suppose the balloon is inflating at a rate of dv/dt = 2400 cm³/min. Find dr/dt, the rate of increase in the radius, when the radius of the balloon is r = 20 cm. Include the units of measurement in your answer.