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 t 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.


Mathematics

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Use the quotient rule to simplify.

A. -3x6 B. 3x2 C. -27x8 D. -3x2

Mathematics

Decide whether the sets are equivalent.{?} and {x : x is a state in the U.S. with a minimum voting age of 64}

A. No B. Yes

Mathematics

Factor completely. If the polynomial cannot be factored, say it is prime.216y3 - 1

A. (6y + 1)(36y2 - 6y + 1) B. (6y - 1)(36y2 + 6y + 1) C. (216y - 1)(y2 + 6y + 1) D. (6y - 1)(36y2 + 1)

Mathematics

Solve the equation.Solve sin ? =  for ?, where 0° ? ? ? 90°.

A. 90° B. 45° C. 30° D. 60°

Mathematics