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please help b) Let B be the region described in polar coordinates by 2 r 4 and /

ID: 2850438 • Letter: P

Question

please help

b) Let B be the region described in polar coordinates by 2 r 4 and /3 2/3.
i. Draw B.
ii. Find the centroid of B.
iii. Use Pappus’ Theorem to calculate the volume of the solid generated by rotating
B around the x-axis.

A Theorem of Pappus1
states that when a region of the plane A (not touching the x-axis) is rotated around the
x-axis, the volume of the solid created is the area of A times the distance travelled by the
centroid of A (ie, the perimeter of a circle with radius ¯y)

please help

Explanation / Answer

please help b) Let B be the region described in polar coordinates by 2 r 4 and /