Question

Find volume and surface area of hot air balloon ?

Answer 1

Hot-Air Balloon Surface AreaThe surface area S (in square meters) of a hot air balloon is given by:

S(r) = 4(pi)(r^2), where r is the radius of the balloon (in meters).

If the radius r is increasing with time t (in seconds) according to the formula
r(t) = (2/3)(t^3), where t is > or = to 0, find the surface area S of the balloon as a function of the time t.

Answer 2

Hot-Air Balloon Surface Area

The surface area S (in square meters) of a hot air balloon is given by:

S(r) = 4(pi)(r^2), where r is the radius of the balloon (in meters).

If the radius r is increasing with time t (in seconds) according to the formula
r(t) = (2/3)(t^3), where t is > or = to 0, find the surface area S of the balloon as a function of the time t.
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