4. Find the work required to pump the water out of the top of a full tank that is shaped like the bottom hemisphere of radius 3m. Use the fact that water's density is 1,000 and round your answer to the nearest Joule. Hint: The cross-section will look like the bottom half of a circle given by y = -V9 – x².
4. Find the work required to pump the water out of the top of a full tank that is shaped like the bottom hemisphere of radius 3m. Use the fact that water's density is 1,000 and round your answer to the nearest Joule. Hint: The cross-section will look like the bottom half of a circle given by y = -V9 – x².
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter3: Radian Measure
Section3.3: Definition Iii: Circular Functions
Problem 62PS
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Concept explainers
Cylinders
A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.
Cones
A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.
Question
![4. Find the work required to pump the water out of the top of a full tank that is shaped like the bottom
hemisphere of radius 3m. Use the fact that water's density is 1,000 and round your answer to the nearest
Joule. Hint: The cross-section will look like the bottom half of a circle given by y = -V9– x².](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F776a07ce-21ba-443e-aa37-00f610ca7adb%2Fe7253099-eb1a-419e-ada6-4e2e6ef039b2%2F90eoya8_processed.png&w=3840&q=75)
Transcribed Image Text:4. Find the work required to pump the water out of the top of a full tank that is shaped like the bottom
hemisphere of radius 3m. Use the fact that water's density is 1,000 and round your answer to the nearest
Joule. Hint: The cross-section will look like the bottom half of a circle given by y = -V9– x².
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