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Q: ) Find the volume of the solid formed by revolving the region bounded by the cu y = √9-x² and y = 0…
A: To Find: Volume of the solid formed by revolving the region bounded by the curve y = 9 - x2 ,…
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A: Topic = Volume
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- volume of solid of as revolution y^2=4x and x^2=4y about the x axisA solid is generated by revolving the region bounded by y = √ 9 - x2) and y = 0 about the y-axis. A hole, centered along the axis of revolution, is drilled through this solid so that one-third of the volume is removed. Find the diameter of the hole?A cubical tank with a side = 12 m is full of water. Calculate the work required to pump the water through an opening at the top of the tank. Integrate by hand.
- A solid is formed by revolving about the y-axis, the area bounded by the curve x³=y, the y-axis and the line y=8. Find it's centroid.Find volume y=3x^2, x=1, and y=0 about x axisA solid is generated by revolving the region bounded by y = 1/2 x2 and y = 2 about the y-axis. A hole, centered along the axis of revolution, is drilled through this solid so that one-fourth of the volume is removed. Find the diameter of the hole?
- Find the volume of the solid formed by rotating the area between the square with a side length of 2 br and the circle on the graph around the y-axis. Please you use Integral !!!An oil storage tank can be described as the volume generated by revolving the area bounded by y = 36 144 + x2 , x = 0, y = 0, x = 3 about the x-axis. Find the volume of the tank (in cubic meters). (Round your answer to one decimal place.)find the volume of the solid generated by revolving each region about the given axis. The region in the second quadrant bounded above by the curve y = -x3, below by the x-axis, and on the left by the line x = -1, about the line x = -2
- A manufacturer is making cylindrical cans that hold 200 cm3. The dimensions of the can are not mandated, so to save manufacturing costs, the manufacturer wants to make the can that uses the least material. What are the dimensions, to the nearest three decimal places, of the can that has the smallest surface area?A company applies a clear glaze finish on the outside of the ceramic bowls it produces. The bowl corresponds to the bottom half of a sphere which is created by rotating the circle x2 + y2 = 16 around the x-axis. The finish is to be 0.2 cm thick, and the company wants to create 3000 bowls. Use the fact that 1 L = 1000 cm3 to calculate how many liters of finish are required. Assume that all specifications for the bowl are in cm. OPTIONS: 1) 1.51 L of finish 2) 150.8 L of finish 3) 60.32 L of finish 4) 30.16 L of finishderive equation of volume of sphere of radius r usig shell method