A cylindrical water tank 4 meters high with a radius of 2 meters is buried so that the top of the tank is 1 meter below ground level. How much work is done in pumping a full tank of water up to ground level? The water weights 9800 newtons per cubic meter. Ans. 470,400t N-m

A cylindrical water tank 4 meters high with a radius of 2 meters is buried so that the top of the tank is 1 meter below ground level. How much work is done in pumping a full tank of water up to ground level? The water weights 9800 newtons per cubic meter. Ans. 470,400t N-m

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.3: Cylinders And Cones

Problem 14E: A cylindrical orange juice container has metal bases of radius length 1 in. and a cardboard lateral...

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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

A cylindrical water tank 4 meters high with a radius of
2 meters is buried so that the top of the tank is 1 meter
below ground level. How much work is done in
pumping a full tank of water up to ground level? The
water weights 9800 newtons per cubic meter.
Ans. 470,400r N-m

y
(40, 4)
8
8 - y
y
+
10
20
30
40
Ans.
Wall at deep end: F= 39936 lb
Side Walls: F = 46592 lb
Wall at the shallow end: F = 9984 lb
Note: Density of water = 62.4 lbs/ft³

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