Find the volume of the solid obtained when the region bounded by the y- axisthe region bounded byy- 3a2- andy-0 is...
4. Find the volume of the solid obtained when the region bounded by y = 2r2 and y = 4.r is rotated about the line r = -3. Make sure to sketch the region and a typical cross section.
5. Find the volume of the solid obtained by rotating the region bounded by the curves, y = 2x, x = 0 and y = 10 about the x axis, 5. Find the volume of the solid obtained by rotating the region bounded by the curves, y = 2x, x = 0 and y = 10 about the x axis,
Question 13: (1 point) Find the volume of the solid obtained when the region bounded by the line y=x, the line x = 3, and the x-axis is rotated about the y-axis. (a) 247 (b) 4871 (c) 167 (d) 367 (e) 421 (1) 18T (g) 27 (h) 307
Consider the region bounded by y=In(2), y=0,2 = 4. Find the volume of the solid when this region is rotated about the Z-axis.
Question1: (a) Find the volume of the solid obtained by rotating the region bounded by y= ln x, y=1, y=2, x=0; about the y-axis. (b) sketch the region, the solid and a typical disk or washer.
4. Find the volume of the solid formed by the curves x = 1-y^4 and x= 0, and rotated about the y-axis 5. Calculate the volume of the solid obtained by rotating the region bounded by the curves y = x^2, y=0, x=-2 https://gyazo.com/cedb31d3c70d20f6947f520b865a0307
Find the volume of the solid obtained by rotating the region bounded by y = 6x², = 1, 2 and y -0, about the c-axis. V Question Help: Video Submit Question
Find the volume of the solid obtained by revolving the indicated region about the given line. (Tip: Making a rough sketch of the region that’s being rotated is often useful.). The region is bounded by the curves x = √ sin y, x = 0, y = 0, and y = π and is rotated about the y -axis.
1) Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the curves x=0, y=1, x=y^7, about the line y=1. 2) Find the surface area of revolution about the x-axis of y=7x+4 over the interval 1≤x≤4. 3)The region bounded by f(x)=−1x^2+5x+14 x=0, and y=0 is rotated about the y-axis. Find the volume of the solid of revolution. Find the exact value; write answer without decimals.
Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the curves y=x^2, y=0, x=−2 and x=−1 about the y-axis.Volume = _______ Find the volume of the solid obtained by rotating the region bounded by the given curve about the specified axis.x^2+(y−7)^2=25about the x-axis. Volume = _______