The answer is A i'm positive I used my caculater
The volume of the solid is 626.12m³
<h3>Volume of composite solids.</h3>
The volume of the given composite solid = volume of cylinder - volume of cube
The volume of cylinder Vc = πr²h
Vc = 3.14(8/2)²(13)
Vc = 3.14(16)(13)
Vc = 653.12 m³
Similarly the volume of the cube:
Volume of cube = 3³
Volume of cube = 27 m³
Volume of the solid = 626.12m³
Hence the volume of the solid is 626.12m³
Learn more on volume of composite solid here; brainly.com/question/9076728
Answer:
2 1/6
Step-by-step explanation:
Because the denominators are different, and there are whole numbers involved, then first make the fractions improper.
4 1/2 -> 9/2
6 2/3 -> 20/3
Next, make the denominators the same by multiplying each fraction by the denominator of the other.
9/2 * 3 = 27/6
20/3 * 2 = 40/6
Then you can subtract the numerators because the denominators are the same:
40/6-27/6= 13/6
Then you can convert to a mixed fraction if need be.
Answer:
1/(x^3 + 6x^2 + 12x + 8)
Step-by-step explanation:
The first thing we do is rationalize this expression. (2+x)^-3 is written as
1/(2+x)^3
Then from there we can foil out the denominator. It is easiest to foil (2+x)(2+x) first and then multiply that product by (2+x).
(2+x)(2+x) = 4 + 4x + x^2
(4+4x+x^2)(2+x) = 8+8x+2x^2+4x+4x^2+x^3.
Then we combine like terms and put them in order to get:
x^3 + 6x^2 + 12x + 8
And of course we can't forget that this was raised to the negative third power, so our answer is 1/(x^3 + 6x^2 + 12x + 8)
