Suppose I coat a circular washer (shown below) which as inner radius 1 cm and outer radius 3 cm with a thin layer of wax according to the wax density function: 20 -3x3 -Зу grams W(x, y) = cm? How many grams of wax did I use in total?

A large chunk of metal has a mass of 393 kg, and its volume is measured to be 0.05 cubic meter.  Find the metal’s mass density and weight density in SI units. What kiind of metal is it?

A bar under 88,000 psi stress is loaded by a 2000 pound load. What is the bar’s cross sectional area?

The area of a circle of radius 1 is units squared. Use scaling to explain why the area of a circle of radius ris · ² units squared. •

The rectangular tank shown here, with its top at ground level, is used to catch runoff water. Assume that the water weighs 62.3 lb/ft³. a. How much work does it take to empty the tank by pumping the water back to ground level once the tank is full? b. If the water is pumped to ground level with an (8/11)-horsepower (hp) motor (work output 400 ft-lb/sec), how long will it take to empty the tank (to the nearest minute)? c. Show that the pump in part (b) will lower the water level 15 ft (halfway) during the first 20 minutes of pumping. d. What are the answers to parts (a) and (b) in a location where water weighs 62.16 lb/ft³? 62.42 lb/ft³? a. Set up an integral to find the work done. W = Ground 5 ft level 0 30 14 ft

The density of pure iron is 7.874 g/cm.Apiece of steel made of pure iron and other types of iron is in the shape of a rectangular pyramid. The rectangular pyramid has a base edge length of 4 cm, a base edge width of 9 cm, a height of 5 cm, and a mass of 425 g. What is the difference between the density of pure iron and the density of the steel rectangular pyramid? Round your answer to the nearest thousandth. Type your answer.

The volume of a ball is 768 cm and its density is 3.2 g/cm3. What is the mass of the ball? Round to the nearest tenth if necessary.

If 2L of solution needs to be administered through an IV over 24hours, then how many mililitres of solution needs to be provided per hour, rounded to two decimal places?

Honey is pouring out of a funnel at a rate of 3cm3/s. The funnel is in the shape of an inverted cone, with an overall height of 10 cm and base diameter of 12 cm. How is the height of the honey in the funnel changing when the height is 5 cm?