Question

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.

actually the last one this time. id really appreciate it!

Answer 1

let
r(t)=0.16*t+38
now
V=(4/3)(pi)(r(t))^3

Answer 2

find volume at t=280
by substituting r(280)=.16*280
38=82.8

Answer 3

V(t) = ; 2,377,823.53 in.3
or V(t) = ; 1,129,910.14 in.3

Answer 4

that right

Answer 5

which one??

Answer 6

1st one

Answer 7

YIPPEEEE thanks a bunch!

Answer 8

u study at college?