For this case we have by definition, that the volume of a sphere is given by:
Where:
r: It is the radius of the sphere
If the radius is divided by 3 we have:
ANswer:
the volume decreases considerably because the denominator increases
Jdksksh jwwohhśke wanak can up819
Let the unknown side be "z" inches
Through pythagoras:
Because the square of the two sides add up to the square of the hypotenuse in a right triangle.
This means that
So the missing side is 16 inches
Hope this helped
Let
b-----------> the length side of the square box
h------------> the height of the box
SA---------> surface area of the box
we know that
[volume of the box]=b²*h
volume=256 in³
b²*h=256-------> h=256/b²-----> equation 1
surface area of the box=area of the base+perimeter of base*height
area of the base=b²
perimeter of the base=4*b
surface area=b²+(4*b)*h------> SA=b²+4*b*h-----> equation 2
substitute equation 1 in equation 2
SA=b²+4*b*[256/b²]-----> SA=b²+1024/b-----> SA=(b³+1024)/b
the answer is
the formula of the volume of the box is V=b²*h-----> 256=b²*h
the formula of the surface area of the box are
SA=b²+4*b*h
SA=(b³+1024)/b