Here ,
V = pi * r^2 * h/3
a) volume of the water = pi * 15^2 * 25/3
volume of the water = 5889 cm^3
the volume of the water is 5889 cm^3
weight of water = V * density * g
weight of water = 5889 * 1/1000 * 9.8
weight of water = 57.7 N
b)
force on the base of vessel = pressure * area
force on the base of vessel = 1000 * 9.8 * 0.25 * pi * 0.15^2
force on the base of vessel = 173 N
the force on the base of the vessel is 173 N
this is greater than weight of water as the walls of the container also applies a force downwards on the water.
36 SSM The volume of a cone of height h and base radius r is V-Tr2h/3....
Please help this one
A right-circular cone with base radius r, height h, and volume ar," is positioned so that the base sits in the x-y plane with its center at the origin. The cone points upwards in the +z-direction. Starting from the definition, find and expression for the z-coordinate of the center of mass of a homogeneous right-circular cone. Verify the units and the magnitude of your answer to part (a) Briefly explain how you could experimentally verify your...
4. Use the AM-GM inequality to find the largest right circular cylinder that is inscribed in a right cone with base radius R and height H. Also determine the radius and height of the largest such cylinder.
4. Use the AM-GM inequality to find the largest right circular cylinder that is inscribed in a right cone with base radius R and height H. Also determine the radius and height of the largest such cylinder.
A conical tank of radius R and height H, pointed end down, is
full of water. A small hole of radius r is opened at the bottom of
the tank, with r, much much less than, R so that the tank drains
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tank completely.
Hint 1: use Bernoulli’s equation to relate the flow speed from
the hole to the height of the water in the cone.
Hint...
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please answer 1,2&3!
A right circular cone has a radius of 4z +4 and a height of 3 units less. Express the volume of the cone as a polynomial function. The volume of a cone is V = ?h for a radius r and height h. Preview V(z) = A square has sides 13 units. Squares of z +2 by +2 units are cut out of each corner to create an open box. Express the volume of the box as...