Determine the volume of a - Expert Answers

Determine the volume of a - Expert Answers

Question 1: 

Determine the volume of a sphere of radius r. (A sphere is swept out when the region bounded by the x-axis and the top half of the circle x2 + y2 = r2 is revolved about the x-axis.)

Question 2: 

 Calculate the length of  for 1 ≤ x ≤ 9. 

Question 3: 

Find the area of the surface when the graph of is rotated about the x-axis 

(a) for 0 ≤ x ≤ 1

(b) for 1 ≤ x ≤ 2

(c) for 2 ≤ x ≤ 3

Question 4: 

How much work is done pushing the box in the figure below:

(a) from x = 3 to x = 7 feet? 

(b) from x = 0 to x = 7 feet?

Question 5: 

The empty can in the figure below weighs 1 ounce when empty and 13 ounces when full. Write the height of the center of mass of the can-liquid system as a function of the height of the liquid in the can.
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