#3: 4a) ANSWER : You get a slanted ring
which is a segment of a cone
#3: 4b) ANSWER:
.
SOLUTION: If the ring segment is very narrow, then the formula for the
surface area is
where r is the average radius of the ring and t is the
width of the ring.
#3: 4c) ANSWER:
SOLUTION: In this case r is the distance
the segment is from the x-axis which is y = x 2 and t is
the arc length of the segment. Therefore,
#3: 4d) ANSWER:
#3: 4e) ANSWER:
#3: 4f) ANSWER:
.
SOLUTION: In this case, r is the distance
the segment is from the y-axis which is x and t is the
arc length of the segment. Therefore,
#3: 4g) ANSWER: