Would someone be able to show me the method used and all steps in these problems?

Thank you!

Calculate the volume of the solid formed by rotating the region between the curve y = 3x and the line y = 3 around the line y = 3. Give your answer as a decimal accurate to 3 decimal places. The volume isFind the volume of the following solids. The base of a solid is the region between the curve y = 6V sin x and the interval [0m] on the x-axis. The cross-sections perpendicular to the xaxis are a. equilateral triangles with bases running from the x-axis to the curve as shown in the figure. b. squares with bases running from the x-axis to the curve. y=61l sin x A a. V= E (Type an exact answer, using radicals as needed.) b. V = '1 (Type an exact answer, using radicals as needed.) Find the volume of the solid generated by revolving about the y-axis the region bounded by the given equations. x=y3'2,x=0. and y=9 The volume of the solid is :l cubic units. (Type an exact answer, using 1: as needed.) Find the volume of the solid generated by revolving the region bounded by the given curve and lines about the x-axis. y=5x, y=5, x=0 V=D (Type an exact answer, using I: as needed.)