The volume of a cylinder is given by the formula
V = r2h,
where r is the radius and h is the height. Find the height in m if the volume is 6,550 m3 and the radius is 13.0 m.
To find the height, we need to rearrange the formula to solve for h:
V = r^2h
h = V / (r^2)
Plugging in the given values:
h = 6,550 m^3 / (13.0 m)^2
Calculating:
h = 6,550 m^3 / 169 m^2
h ≈ 38.77 m
Therefore, the height is approximately 38.77 meters.
To find the height, we can rearrange the formula for the volume of a cylinder and solve for h.
Given:
Volume (V) = 6,550 m³
Radius (r) = 13.0 m
The formula for the volume of a cylinder is:
V = r²h
Rearranging the formula, we can solve for h:
h = V / (r²)
Substituting the given values into the formula, we get:
h = 6,550 m³ / (13.0 m)²
To simplify, we square the radius:
h = 6,550 m³ / 169.0 m²
Finally, we can calculate the height:
h = 38.76 m
Therefore, the height of the cylinder is 38.76 m.