The radius of thd base of a cylindrical oil can is 4m.find its height if it can contain 1408kl of oil.
1 kl=1ml³
Now,
We know that 1408 kilolitres =1408 m³
Volume of cube=πr²h
Radius=4 m
Height=?
22/7×4×4×h=1408
h=1408×7/22×4×4
h=28m
since 1kL = 1m^3,
v = πr^2 h
16πh = 1408
h = 88/π m
To find the height of a cylindrical oil can, given the radius of its base and the volume it can contain, you need to use the formula for the volume of a cylinder. The volume (V) of a cylinder is calculated by multiplying the cross-sectional area of its base (A) by its height (h).
The formula for the volume of a cylinder is:
V = A * h
The cross-sectional area of a cylinder's base is given by the formula:
A = π * r^2
where r is the radius of the base.
Given that the radius of the base (r) is 4m and the volume that can be contained (V) is 1408kl (which we'll need to convert to cubic meters), we can now calculate the height (h).
Step 1: Convert volume to cubic meters
Since 1 kiloliter equals 1 cubic meter, the volume of 1408kl can be directly converted to 1408 cubic meters.
Step 2: Calculate the cross-sectional area
Using the formula A = π * r^2, and substituting the given radius (r = 4m):
A = π * 4^2
A = 16π
Step 3: Solve for the height
Now, substitute the calculated values of A and V into the volume formula, V = A * h, to find the height (h):
1408 = 16π * h
Divide both sides of the equation by 16π:
1408 / (16π) = h
Simplify the expression:
h ≈ 28 m
Therefore, the height of the cylindrical oil can is approximately 28 meters.