a cylindrical tank with radius 7 m is being filled with water at a rate of 4 m3/min. how fast is the height of the water increasing?

0.026 m / min.

Step-by-step explanation:

Volume V = π7^2h

V = 49πh

dV/dh = 49π

Rate that the volume is increasing is 4 m3/min.

So dV/dt = 4

dV/dt = dh/dt * dV/dh

4 = dh/dt * 49π

dh/dt = 4/49π

= 0.026 m / min.

the distance between the school and her home is 3.6km.

12 mins = 0.2 hours = 1/5 hour

54 ÷ 3 = 18km per hour

1/5 of 18 = 3.6km per 12 mins