Answer:
going down the picture
45
36
250
546
216
60
Step-by-step explanation:
Answer:
a.) x = 5.36
b.) y = - 0.001
c.) t = 11.26
d.) k = 4.57
Step-by-step explanation:
a) x−1.27=4.09
b) 2.3−y=2.301
c) t+3.04=14.3
d) 1.1+k=5.67
Solving. right?
a.) x = 4.09 + 1.27 = 5.36
b.) y = 2.3 - 2.301 = - 0.001
c.) t = 14.3 - 3.04 = 11.26
d.) k = 5.67 - 1.1 = 4.57
<span>The area of the base is x^2> The height is h. Each side of the box has area xh. There are 4 sides of the box so the total surface area of the box is x^2+4xh and that is equal to 1000. Solve that equation for h:
x^2+4xh = 1000 h = (1000-x^2)/4x so the Volume = x^2[(1000-x^2)/4x]
Simplify and get V = 250x-x^3/4
The volume will be a maximum when its first derivative is 0.
V' = 250-3/4x^2
Set to 0 and solve. x=18.26
Now plug into the volume function to find the maximum volume:
V=250(18.26)-(18.26)^3/4
V= 4564.35 - 1522.10 =3042.25</span>
The like terms: 5x^3 and x^3
Answer:
64π^2 cubic inches
Step-by-step explanation:
The question is not complete, the shapes are not given
Diameter of base= 16π
Radius of base= 8π
Height of cylinder = 8 inches
Let us find the volume of the cylinder
V= πr^2h
V= π* (8π)* 8
V= 64π^2 cubic inches
Hence the volume of the cylinder is 64π^2 cubic inches
