Let V be the volume of a wedge cut from a right-circular cylinder with a radius of 1 inch by two planes, one perpendicular to the axis of the cylinder and the other intersecting the first along a diameter of the circular plane section at an angle of $\frac { \pi } { 3 }$ radian. Then V is

A) $\frac { 1 } { \sqrt { 3 } } \pi$
B) $\frac { 2 } { \sqrt { 3 } } \pi$
C) $\sqrt { 3 } \pi$
D) $\frac { 4 } { \sqrt { 3 } } \pi$
E) $\frac { 5 } { \sqrt { 3 } } \pi$

Question

Let V be the volume of a wedge cut from a right-circular cylinder with a radius of 1 inch by two planes, one perpendicular to the axis of the cylinder and the other intersecting the first along a diameter of the circular plane section at an angle of

\frac { \pi } { 3 }

radian. Then V is

A) $\frac { 1 } { \sqrt { 3 } } \pi$
B) $\frac { 2 } { \sqrt { 3 } } \pi$
C) $\sqrt { 3 } \pi$
D) $\frac { 4 } { \sqrt { 3 } } \pi$
E) $\frac { 5 } { \sqrt { 3 } } \pi$

Quizplus · Accepted Answer

The Answer of Let V be the volume of a wedge cut from a right-circular cylinder with a radius of 1 inch by two planes, one perpendicular to the axis of the cylinder and the other intersecting the first along a diameter of the circular plane section at an angle of $\frac { \pi } { 3 }$ radian. Then V is

A) $\frac { 1 } { \sqrt { 3 } } \pi$
B) $\frac { 2 } { \sqrt { 3 } } \pi$
C) $\sqrt { 3 } \pi$
D) $\frac { 4 } { \sqrt { 3 } } \pi$
E) $\frac { 5 } { \sqrt { 3 } } \pi$

Let V Be the Volume of a Wedge Cut from a Right-Circular