The volume of a right cylindrical water tank is 5000 cubic meters. The radius of the base of the tank is 20 meters. Find the length in meters, of h, the hight of the tank. A. 15 m B. 10 m C. 10.5 m D. 12.5 m

10 m

Explanation:

The volume of a cylinder is given by

V = pi r^2h

We know the radius is 10 and the volume is 1000pi

1000pi = pi (10)^2 h

1000 pi = 100 pi h

Divide each side by 100 pi

1000 pi/100pi = 100 pi h/100pi

10 = h

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0