# Calculus

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A cylindrical tank, with height of 15 m and diameter 4m, is being filled with gasoline at a rate of 0.5m^3 / min.

a) At what rate is the fluid level in the tank rising? Express your answer in terms of pi.

b) About how long will it take to fill the tank? Express your answer to the nearest minute.

• Calculus -

If the tank is sitting on its end,

volume= h*PIr^2
dvolume/dt= dh/dt * PI r^2

solve for dh/dt, you know dV/dt

b. volume= ratevolume*time

PI r^2*15=.5 * t solve for time.

• Calculus -

could you expand and explain further please? i just want to check my answer

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