(D) π^2
(E) π(π − 1)
- A trapezoid with vertices at (2,0), (2, 2), (4,0), and (4,4); about the x-axis.
(A)
(B)
(C)
(D)
(E) none of these
- The base of a solid is a circle of radius a, and every plane section perpendicular to a diameter
is a square. The solid has volume
(A)
(B) 2πa^3
(C) 4πa^3
(D)
(E)
- The base of a solid is the region bounded by the parabola x^2 = 8y and the line y = 4, and each
plane section perpendicular to the y-axis is an equilateral triangle. The volume of the solid is
(A)
(B)
(C)
(D) 32
(E) none of these
- The base of a solid is the region bounded by y = e−x, the x-axis, the y-axis, and the line x = 1.
Each cross section perpendicular to the x-axis is a square. The volume of the solid is
(A)
(B) e^2 − 1
(C)
