By calculating the solid's volume got by rotating the region underneath the semicircle y = (r2 − x2)0.5 from x = −r to x = r around the x-axis, indicating that the volume of a globe of radius r is 12/9 ?r 3 cubic units.

Q: Find the volume of the solid generated when the shaded area is revolved about y = -1. y y = 2x y=x²…

A: To find the volume of the solid generated when the shaded area is revolved about .

Q: find the volume of the solid

A:

Q: 1. Sketch the graphs of v = 2x - x2 and y = - x. Shade the region bounded by the curves, Find the…

A: Given, The sketch graph of; Y = 2x - x² Y = - x The volume of the solid that is formed by revolving…

Q: Find the volume of the solid generated when the region enclosed by y = Vx + 1, y = V5x, and y = 0 is…

A: Volume bounded by the curves

Q: The base of a solid is the region enclosed by the graph of y = vln x, the line x = e, and the…

A: Given,  The base of solid is the region enclosed by y=ln(x), the line x=e and the x-axis. Also…

Q: The second-quadrant area enclosed by x²- y² = 25.

A:

Q: Consider the solid whose base is the region bounded by 4x? + 9y? = 36. Y 3 -3 -2 -1 -1 2 3 2 -3 1.

A:

Q: The area in the 2nd quadrant of the circle x2 + y2 = 36 is revolved about the line y = 4. What is…

A: Given Information:The area in the 2nd quadrant of the circle revolved about the line .To find:The…

Q: hourled region bunked Letf(x)=1-x. If the by the curve and x and y exis is revolved about the axis…

A:

Q: Find the volume of the solid generated by revolving the region bounded by the y = x?and y = 6x– 2x2…

A:

Q: y = -x² + 6 – 8 2. Find the volume of the solid generated by revolving the region bounded by the and…

A: