Answer:
The volume of the cylinder is about 1256.6 cubic meters.
Step-by-step explanation:
The volume of a cylinder is given by the formula:
Where <em>r</em> is the radius and <em>h</em> is the height.
Our radius is 10 meters and our height is four meters. Substitute:
Evaluate:
Thus, the volume of the cylinder is about 1256.6 cubic meters.
The height of the tank is 12 inches
Answer:
He purchased 125 nails.
Step-by-step explanation:
if each nail cost $0.12 you would take $15 and divide it by $0.12.
Volume
of a rectangular box = length x width x height<span>
From the problem statement,
length = 60 - 2x
width = 10 - 2x
height = x</span>
<span>
where x is the height of the box or the side of the equal squares from each
corner and turning up the sides
V = (60-2x) (10-2x) (x)
V = (60 - 2x) (10x - 2x^2)
V = 600x - 120x^2 -20x^2 + 4x^3
V = 4x^3 - 100x^2 + 600x
To maximize the volume, we differentiate the expression of the volume and
equate it to zero.
V = </span>4x^3 - 100x^2 + 600x<span>
dV/dx = 12x^2 - 200x + 600
12x^2 - 200x + 600 = 0</span>
<span>x^2 - 50/3x + 50 = 0
Solving for x,
x1 = 12.74 ; Volume = -315.56 (cannot be negative)
x2 = 3.92 ;
Volume = 1056.31So, the answer would be that the maximum volume would be 1056.31 cm^3.</span><span>
</span>
Answer:
The awnser is 2 and 3!!!!!!
