Consider a tank with the shape of an inverted circular cone with height 10 m and base radius 4 m. Suppose the tank is filled with water to a height of 8 m. Find the work required to empty the tank by pumping all of the water to the top of the tank. The density of water is 1000 kg/m^3 and g = 9.8 m/s^2 .

Shiny white dental insurance costs $258 per year. approximately one-third of insured people need a filling, which averages $110 each. 80% of insured people get a preventive check-up each year, and the average cost of this visit is $95. if you consider shiny white’s income and expenses, what is the expected value of each insured customer?

The radius of the base of a cylinder is 10 centimeters, and its height is 20 centimeters. a cone is used to fill the cylinder with water. the radius of the cone's base is 5 centimeters, and its height is 10 centimeters.

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