The radius of a spherical balloon is 4.5 inches. what is the volume of the balloon? use 3.14 for pi. enter your answer, as a decimal, in the box. in³

The volume of the balloon is 18.84 inches³

Step-by-step explanation:

* Lets talk about the sphere

- Its a solid

- It has surface area = 4πr²

- It has no lateral area

- It has no faces

- It has no vertices

- It has no edges

- Its volume = (4/3) π r³

* In our problem the balloon shaped a sphere

- Its radius = 4.5 inches

- The value of π = 3.14

* Lets calculate its volume

∵ The radius = 4.5 inches

∵ π = 3.14

∵ The volume = (4/3) π r³

* Substitute the values of r and π in the formula

∴ The volume = (4/3) × 3.14 × 4.5 = 18.84 inches³

* The volume of the balloon is 18.84 inches³

(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