6. Use calculus to calculate and to prove that the volume of a right circular cylinder with radius r and height h is given by the formula V = Tr²h.

Q: Rotate a circle of radius r around the x axis and use the method of disks to prove the formula for…

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Q: The lateral area L of any prism whose altitude measures h and whose base has perimeter P is given by…

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Q: In constructing an open rectangular box from 75 ft² of material, what dimensions will result in a…

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Q: Let S be the intersection of two cylinders of radius r whose axes intersect at an angle θ. Find the…

A: Each cross-section at a distance y from the central axis(for -r≤y≤r) is a rhombus with side length…

Q: 2. The metal cylinder in Question #1 has a radius (r) = 1.05 cm and a height (h) = 3.32cm. (a)…

A: Given that the metal cylinder has a radius (r) = 1.05 cm and height (h) = 3.32 (a) To calculate…

Q: Derive the formula for the volume of a right-circular cylinder with radius r and height h by…

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Q: Derive the formula for the volume of a sphere by revolving about the x-axis, the region bounded by…

A: We have to derive the formula for the volume of a sphere by revolving about the x-axis, he region…

Q: How can I find the volume of the cylinder with the given information from the tabe? The seconf…

A: Use the given formula for the volume to determine the volume of cylinder in each trial. V=πd24h

Q: Find the volume of the part of the unit ball that lies above the cone 1² + y² = 32².

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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…