Question 1
An auxiliary fuel tank for a helicopter is shaped like the surface generated by revolving the curve
- 3 ≤ x ≤ 3, about the x-axis (dimensions are in feet). How many cubic feet of fuel will the tank hold to the nearest cubic foot?
◦ 13
◦ 5
◦ 10
◦ 3
Question 2
A 1.5-mm layer of paint is applied to one side of the following surfaces. Find the volume of paint needed. Assume that x and y are measured in meters.
The spherical zone generated when the upper portion of the circle x
2 + y
2 = 81 on the interval
is revolved about the x-axis.
◦
π m
3◦ 270π m
3◦
m
3◦
π m
3