Answer:
h=39
Step-by-step explanation
V = [tex]\pi[/tex]r^(2) h
V = 10,000[tex]\pi[/tex]
radius = diameter / 2
diameter = 32
radius = 32/2
radius = 16
10,000[tex]\pi[/tex]=[tex]\pi[/tex](16)^(2)(h)
Simplify by dividing [tex]\pi[/tex] from both sides and evaluating 16^2
10,000=256h
Simplify again by dividing 256 from both sides to isolate h.
39.06 = h
Round to the nearest whole number:
39 inches.
