Suppose You Make Napkin Rings by Drilling Holes with Different $t$

Suppose you make napkin rings by drilling holes with different diameters through two wooden balls (which also have different diameters) . You discover that both napkin rings have the same height h as shown in the figure. Use cylindrical shells to compute the volume of a napkin ring created by drilling a hole with radius d through the center of a sphere of radius D and express the answer in terms of $t$ .

A) $V=\frac{1}{3} \pi t^{3}$
B) $V=\frac{1}{4} \pi t^{3}$
C) $V=\frac{1}{3} \pi t^{2}$
D) $V=\frac{1}{6} \pi t^{2}$
E) $V=\frac{1}{6} \pi t^{3}$

Correct Answer:

Verified

Unlock this answer now
Get Access to more Verified Answers free of charge

Access For Free