Assume it takes 6.00 minutes to fill a 45.0-gal gasoline tank. (1 U.S. gal = 231 in.3)Calculate the rate at which the tank is filled in cubic meters per second.Determine the time interval, in hours, required to fill a 1.00-m3 volume at the same rate.

Please help. This problem involves finding the radius and volume of a platinum atom using its density. Thank you.

(a) Assuming that each cubic centimeter of water has a mass of exactly 1 g, find the mass of 8.88 cubic meter of water. (b) Suppose that it takes 15.5 hours to drain a container of 87.0 m3 of water. What is the "mass flow rate," of water from the container?

A rectangular container measuring 18 cm ⨯ 45 cm ⨯ 61 cm is filled with water. What is the mass of this volume of water in kilograms and grams? (Take the density of water to be 1000 kg/m3.)

i keep getting the unit conversion chain incorrect but i swear i’m song it correct i don’t understanddd:(

One cm3 of gold is 19.32 g. What is the density (ratio of mass to volume) of gold inkg per m3 ?  I know the answer is 19.32x10^3 but can someone tell me the steps to get there?

Blood flows through the aorta at an average speed of v = 18 cm/s. The aorta is roughly cylindrical with a radius r = 17.0 mm. The volume rate of blood flow through the aorta is πr2v. Calculate the volume rate of blood flow through the aorta in L/min.

(a) Estimate the time it would take (in hours) to fill a private swimming pool with a capacity of 90,000 L using a garden hose delivering 39 L/min. hours (b) How long would it take (in s) to fill if you could divert a moderate size river, flowing at 2200 m/s, into it?

Consider a water tank that is being filled with rainfall at the top and is drained through a small hole atthe bottom. The change in volume can be modelled by considering the amount of water entering andleaving the tank (per unit of time) as followsdVdt= fin − fout.Here volume of water in the tank V is in litres, flow rate in fin is in litres per hour, flow rate out fout isin litres per hour and time t is in hours. Initially, the tank contains 50L of water: V (0) = 50.(a) Assume the rainfall throughout the day is getting heavier, such that, fin(t) = 10 + t andthat the tank is losing 10% of its volume of water per hour, such that, fout(V ) = 0.1V . Check bydirect substitution that the functionV (t) = 10(t + 5e−0.1t)satisfies the ODE and the initial condition.Now assume that the hole is slowly growing in size, so that the flow rate out increaseswith time:fout(V, t) = 0.1(1 + 0.1t)V.Solve the ordinary differential equation for V (t) with this flow rate out, using either separation…