Question
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.
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.
Answers
bobpursley
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.
Your teacher is too easy.
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.
Your teacher is too easy.
could you expand and explain further please? i just want to check my answer
Related Questions
A cylindrical water tank of diameter 1.4m and height 2.1m is being feed by a pipe of diameter 3.5cm...
A gasoline truck is a cylindrical tank(think "sideways" cylinder) that is 20 feet long and 6 feet in...
A cylindrical water tank of diameter 14m is filled by water flowing from a pipe of radius 70mm at th...
7. A cylindrical tank whose diameter is 1.4 metres and height 80 cm is initially empty. Water whose...