Write the integral that gives the volume of a solid whose base is a circle centered at the origin,with diameter 6,if cross sections perpendicular to the x-axis are equilateral triangles.A.-3332(9-x2)dxB.06324(9-x2)dxC.-33324(9-x2)dxD.-66432(36-x2)dxCALCULATOR ACTIVE MULTIPLE CHOICEThe water level at low tide is changing at a rate ofw(t)=1.25sin(2-0.25t) inches per hour,where tis the hours since midnight. Find the number of inches the water level changedbetween t=1 and t=5.A.4.5B.4.6C.2.3D.1.1The base of a solid is the region shown at right, bounded bythe x-axis, the y-axis, and the graph ofy=(4-x)e-x.Ifcross sections of the solid perpendicular to the x-axis aresquares, what is the volume of the solid?A.3.018B.6.249C.9.963D.10.622Find the area of the region in the first quadrant enclosed by the graph ofy=sin(x)+1,y=12x, and the y-axis.A.3.178B.6.416C.0.787D.2.783