What is the volume of the composite figure? Use 3.14 for x. Round to the nearest hundredth. 8 cm 14 cm 7 cm Recall the formulas V=Bh and V=Bh V = V. 0 242.83 cubic centimeters O 309.81 cubic centimeters O 334.93 cubic centimeters Next

485.65 cubic cenimeters

Step-by-step explanation:

So we need to find the voulme of the cone and then the volume of the cylnder and then add it together to find the volume of the composite figure.

So lets start with the cylinder the formula for one is V = πr²h and now we can plug in our height (h) and radius (r). The radius looks to be 4 and the height seems to be 7.

V = π(4)²(7) first lets solve the four squared

  = π(16)(7) now we can combine liked terms

  =π112 and now we can mutply 112 by 3.14 as the question implies

  =351.68 so the volume for the cylinder is 351.68

Now lets do the cone and the formula for the volume of a cone is V = πr²(h/3)

so lets plug in our radius and height which is 4 and 8.

V = π(4)²(8/3) so lets solve four squared again

 = π(16)(8/3) and then we can 8/3 by 16

 = π 128/3 and then mutiply that by 3.14/π

 = 134.04 (after its rounded)

So now we know the volumes of the cone and cylinder and can add them up: 134.04 + 351.68 = 485.72 (since this involves pi the answer doesnt have to be exact just pretty close)

So the answer will be the last option the volume of the shape is 485.65 cubic cenimeters

(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

add 5 subtract 1

step-by-step explanation: