Solve the problem.A bead is formed from a sphere of radius 2 by drilling through a diameter of the sphere with a drill bit of radius 1. Find the volume of the bead.

A. ?
B. ?
C. ?
D. ?


Answer: C

Mathematics

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3 + 1

A. 4
B. 4
C. 4
D. 5

Mathematics

Perform the requested operation on the given function.f(x) = x2 - x + 4, g(x) = x3 - x2 + xFind (f + g)(x)

A. 2x3 - 3x2 + 5x
B. x3 - x2 - x + 4
C. x3 - x2 - x + 4
D. 2x3 - x2 + 5x

Mathematics

Use the fundamental identities to simplify the expression.cos ? - cos ? sin2?

A. cos3? B. sin ? C. tan2? D. sec2?

Mathematics

Solve the problem.At a certain baseball diamond, the distance from home plate through the pitcher's rubber to the far wall (i.e., to dead center) is 384 feet. Given that the infield forms a square 90 feet on each side, how far is it from third base to dead center. Round your answer to the nearest tenth.

A. 362.1 ft B. 326.6 ft C. 424.3 ft D. 452.1 ft

Mathematics