Find the missing dimension of the cylinder. Round your answer to the nearest whole number. Volume = 250 ft³

h ≈ ___ ft?

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

Step-by-step 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

3ft (to nearest whole number)

Step-by-step explanation:

Volume of a cylinder = πr²h

Where r is the radius

h is the height

Given volume = 250ft³

Since are not given the radius, let's assume the radius of the cylinder to be 5ft

Substituting this values in the formula to get the height

250 = π (5) ²h

250 = 25*3.14*h

250 = 78.5h

h = 250/78.5

h = 3.19

h is approximately 3ft (to nearest whole number)