complete question:
Find the missing dimension of the cylinder. Round your answer to the nearest whole number.
volume = 250 ft³
diameter = 8 ft
h = ___ ft
Answer:
h ≈ 5 ft
Explanation:
The volume of the cylinder is given, likewise the diameter of the cylinder . The volume a cylinder can be represented as
volume = πr²h
where
r = radius
h = height
we were given the diameter, so we find the radius from it diameter .
r = d/2
d = 8 ft
volume = 250 ft³
r = 8/2 = 4 ft
volume = πr²h
250 = π × 4² × h
250 = 16πh
250 = 16 × 22/7 × h
250 = 352h/7
cross multiply
250 × 7 = 352h
1750 = 352 h
divide both sides by 352
h = 1750/352
h = 4.97159090909
h ≈ 5 ft