1. Show by integration that the volume V of a right circular cylinder with base radius r and height h is V = nr’h

Q: The area between = 1 and y + x2 = 8 is rotated 360° about the x-axis. Find the volume produced. %3D

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Q: Find the total mass of the given rod and the center of mass The length of a rod is 6m and the…

A: Given that, the length of the rod is 6 m and linear density of the rod is 2x+3kgm. Find the total…

Q: The volume generated when ℝ is rotated about the x-axis.

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Q: 2. If the portion of y 2 between x = 0 and x = 4 is rotated about the x-axis, what would be the…

A: Given that the region is bounded by the curve  between The surface area of the revolution about…

Q: A trough is 5 meters long, 2.5 meters wide, and 2 meters deep. The vertical cross-section of the…

A: Given that the trough is L=5m long, W=2.5 wide, and 2 m deep. The trough is full of water. We need…

Q: # 8) Find the volume of the cylinder 21.5 36.2

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Q: The area bounded by the parabola y² + x - 2y = 1, the x — axis, and the line x = 2 revolves about…

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Q: Find the volume (in units3) of the solid created after a hole of radius  a = 1  is bored down the…

A: Given: the radius of the cone= 9 units height of the cone=9 units the radius of the hole(cylinder)=1…

Q: Solve for the volume of the solid generated by revolving about the y-axis the area under y x = 4 to…

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Q: Exercise#4: Calculate the volume of cylinder

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Q: Find volume if area enclosed is rotated about y= -2.

A: To find the volume if the area enclosed by the below curves is rotated about y = -2.