Answer:
result = 15cm
Step-by-step explanation:
Hi! to can solve this, we have to keep in mind this formulas:
1) Area of a circuference:
A1 = π [tex]r^{2}[/tex] ; where r = radius
2) Area of a cylinder:
A2 = (π [tex]r^{2}[/tex]) * (h) ; where h= height
now we solve:
first, we have to calculate the area of the circumference
A1 = [tex](3.14)*(4cm)^{2}[/tex] = [tex]50.24cm^{2}[/tex]
then, we already know the volume of the cylinder, and the area of the circumference, so we have to find just h of the second formula:
A2 = (π [tex]r^{2}[/tex]) * (h)
[tex]753.6cm^{3}[/tex] = [tex]50.24cm^{2}[/tex] * (h)
[tex]\frac{ 753.6cm^{3} }{50.24cm^{2} }[/tex] = h
h = 15cm
