Solve the problem.For a cone, the formula r =  describes the relationship between the radius r of the base, the volume V, and the height h. Find the volume if the radius is 4 inches and the cone is 12 inches high. (Use 3.14 as an approximation for ?, and round to the nearest tenth.)

A. 201.0 cu in.
B. 1808.6 cu in.
C. 50.2 cu in.
D. 16.7 cu in.


Answer: A

Mathematics

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Solve the system using the inverse of the coefficient matrix of the equivalent matrix equation.-4x - y + 5z = -14-2x + 4y - 8z = -28 9x - 2y + z = 63

A. (8, 7, 5) B. (-8, 7, 16) C. (8, 5, 7) D. No solution

Mathematics

Solve the problem.Find the center of mass of the solid enclosed between the cone with equation  and the plane with equation  if the density at any point is proportional to the distance from that point to the plane .

A. () = 
B. () = 
C. () = 
D. () = 

Mathematics

Solve the problem by integration.Find the volume of the solid that is generated by revolving the area bounded by the  the curve  x = 0, and x = 7 about the x-axis.

A. 1? ln 
B. 4? ln 
C. 2 ln 
D. 2? ln 

Mathematics

Solve the problem.Follow the pattern in the first array to fill in the missing entries in the second array.

A. From upper left to lower right: 4, 15, 19 B. From upper left to lower right: 6, 7, 13 C. From upper left to lower right: 14, 9, 23

Mathematics