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Mathematics, 06.10.2019 19:00 ericpatterson14

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an environmental equipment supplier sells hemispherical holding ponds for treatment of chemical waste. the volume of a pond is v1=1/2(3/4πr1^3), where r1 is the radius in feet. the supplier also sells cylindrical collecting tanks. a collecting tank fills completely and then drains completely to fill the empty pond. the volume of the tank is v2=12πr2^2, where r2 is the radius of the tank.

a. since v1=v2, write an equation that shows r1 as a function of r2. write an equation that shows r2 as a function of r1.

b. you want to double the radius of the pond. how will the radius of the tank change?


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