anonymous
  • anonymous
A high-altitude spherical weather balloon expands as it rises, due to the drop in atmospheric pressure. Suppose that the radius r increases at the rate of 0.16 inches per second, and that r = 38 inches at time t = 0. Determine the equation that models the volume V of the balloon at time t, and find the volume when t = 280 seconds.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
AV(t) = four pi times the quantity of thirty eight plus zero point one six t to the third power divided by three; 1,129,910.14 in3 BV(t) = four pi times the quantity of thirty eight plus zero point one six t to the third power divided by three; 2,377,823.53 in3 C V(t) = 4π(0.16t)2; 25,221.21 in3 D V(t) = 4π(38 + 0.16t)2; 1,325,689.77 in3
anonymous
  • anonymous
@jigglypuff314 do you know this, i know you set it up as 4pi(38 + .16t)^3 / 3 and i get 756,884.74
jigglypuff314
  • jigglypuff314
I believe the equation is correct, but you might want to look at the number you got again :) try doing 38+(0.16*280) = r first then 4pi(r)^3 / 3 =

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anonymous
  • anonymous
i still get the same answer?

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