The region enclosed by y = x2 and y = ax with a>0 is rotated about X-axis. Find the volume of solid of revolution. Choices : A) 8/15pi a^3 B) 8/15pi a^5 C) 2/15pi a^5 D) 2/15pi a^3

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A: If  you like the solution then please give it a thumbs up.. The Answer is:     Volume = 4π3

Q: b) use cylindrical shell to find the volume of the solid generated when the region under y= x , y=…

A: Volume of revolution

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A: This question can be solved by first plotting the graphs to get the feel of the area enclosed.

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Q: Find the volume of the solid generated when the region enclosed by y = \2x + 8, y = x, x = 0 is…

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Q: 4. Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = 2x2…

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A: Given curve is y=9-x2 ,[0,3]

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A: Find your answer below

Q: 2. (2 - x² – y²)dydx

A: Given, I=∫01∫012-x2-y2dydx…

Q: 1) Compute the volume of the solid obtained by revolving around the r-axis by 27 (ie. a full…

A: Note: Since, you have asked multiple question, we will solve the first question for you. If you want…

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Q: 7. Use Disk Method to find the volume of the solid generated by revolving the R bounded by y =√x =…

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A: The equation of curve y=x3 , y=9x and x≥0 Washer method formula  To draw graph

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Q: Find the exact volume of the solid of revolution that results when a rectangular region with…

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Q: 6. Use cylindrical shells to find the volume of the solid generated when the shaded region is…

A: Here is the solution of the given problem. Cylindrical Shell Method to find out the volume of a…

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A: Given :     To find the volume of the solid.

Q: The region bounded by f(x) = - 2x² + 8x + 24, x = 0, and y = 0 is rotated about the y-axis. Find the…

A: Introduction: When the cross-sectional area is perpendicular to the axis of revolution and the axis…

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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.