1.) An air duct in a stadium has a circular cross section with a radius of 24 inches and a length of 40 feet and is open at both ends. What is the volume of theduct, and how much paint(in squarefeet) is needed to paint the exterior of theduct?

2.) The water reservoir for a city is shaped like a rectangular prism 270 meterslong, 50 meterswide, and 12 meters deep. At the end of theday, the reservoir is 85% full. How much water must be added overnight to fill thereservoir?

3.) Is there more wood in a 70-foot-high tree trunk with a radius of 2.3 feet or in a 60-foot-high tree trunk with a radius of 2.6 feet? Assume that the trees can be regarded as right circular cylinders.

4.) Suppose you build an architectural model of a new concert hall using a scale factor of 50. How will the surface area of the actual concert hall compare to the surface area of the scalemodel?

5.) If you magically tripled insize, by what factor would your weight haveincreased?

6.) What is the slope of a roof with a pitch of 2 in 10? Round decimal values to two decimal places.