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?

Compute the number of cubic centimeters of iron required for the cast-iron plate shown. The plate is 3.50 centimeters thick. Round the answer to the nearest cubic centimeter.

A piece of round stock is being turned to a 17.86-millimeter diameter. A machinist measures the diameter of the piece as 18.10 millimeters.What depth of cut should be made to turn the piece to the required diameter?

A 16-ounee chocolate mocha coffee with whipped cream contains 470 calories, 18 grams of fat, 63 grams of carbohydrates, and 15 grams of protein. Find the unit rate of (a) calories per ounce (b) grams of fat per ounce (c) grams of carbohydrates per ounce (d) grams of protein per ounce.