oliations E 25 68. Annie is a sea-kayaking guide who finds herself with time on her hands in the winter. She is building a wood-and- fabric kayak for herself, but is concerned about its capac- ity for cargo. The outside surface of the kayak satisfies the equation r = (49-1²) (2 - sin 0) 147 where the coordinates are cylindrical, r is the distance from a line joining the tips of the boat, and I is the hori- zontal distance from the center. (a) What is the volume of the kayak? (b) When Annie sits in a kayak, the seat and her body fill about 5 cubic feet of the boat. The stringers, which are supports inside that run the length of the kayak, take up space, so the interior has a radius that is 1.5 inches smaller than what you calculated in part (a). Approx- imately how much cargo space will she actually have in the kayak?
oliations E 25 68. Annie is a sea-kayaking guide who finds herself with time on her hands in the winter. She is building a wood-and- fabric kayak for herself, but is concerned about its capac- ity for cargo. The outside surface of the kayak satisfies the equation r = (49-1²) (2 - sin 0) 147 where the coordinates are cylindrical, r is the distance from a line joining the tips of the boat, and I is the hori- zontal distance from the center. (a) What is the volume of the kayak? (b) When Annie sits in a kayak, the seat and her body fill about 5 cubic feet of the boat. The stringers, which are supports inside that run the length of the kayak, take up space, so the interior has a radius that is 1.5 inches smaller than what you calculated in part (a). Approx- imately how much cargo space will she actually have in the kayak?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:oliations
151
68. Annie is a sea-kayaking guide who finds herself with time
on her hands in the winter. She is building a wood-and-
fabric kayak for herself, but is concerned about its capac-
ity for cargo. The outside surface of the kayak satisfies the
equation
1 =
(49-1²) (2 - sin()
147
where the coordinates are cylindrical, r is the distance
from a line joining the tips of the boat, and I is the hori-
zontal distance from the center.
(a) What is the volume of the kayak?
(b) When Annie sits in a kayak, the seat and her body fill
about 5 cubic feet of the boat. The stringers, which are
supports inside that run the length of the kayak, take
up space, so the interior has a radius that is 1.5 inches
smaller than what you calculated in part (a). Approx-
imately how much cargo space will she actually have
in the kayak?
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