Calculus 7.2 MC Practice

CALCULATOR:  The volume of the solid formed by revolving the region bounded by the graph of  $y=\left(x-3\right)^2$  and the x-axis is given by which of the following integrals?  

NO CALCULATOR: Which definite integral represents a volume of a sphere with radius 2?

CALCULATOR: The region enclosed by the line  $x+y=1$   and the coordinate axes is rotated about the line  $y=-1$  .  What is the volume of the solid that is generated? 

CALCULATOR: A region in the first quadrant is enclosed by the coordinate axes and the lines $y=k$   and   $x=3k$  , where  $k>0$  .  If the volume of the solid that is generated by rotating the region about the y-axis is  $72\pi$  , then k = ?

 CALCULATOR: The region enclosed by the x-axis, the curve $y=\arcsin x$ , and the line x = 1 is rotated about the line  x = 1.  What is the volume of the solid that is generated? 

NO CALCULATOR: The base of a solid is the region in the first quadrant bounded by the line x + 2y = 4 and the coordinate axes. What is the volume of the solid if every cross section perpendicular to the x-axis is a semicircle?

NO CALCULATOR: A solid has a circular base centered at the origin with a radius 3. If every plane cross section perpendicular to the x-axis is an equilateral triangle, then it's volume is...?