cylindrical tank of radius 4m and 7m high.if poured into the tank of 6m diameter .how high is the water?
7 pi (4^2) = h pi (3^2)
7 *16 = 9 h
h = 7 (16/9)
tnx damon
You are welcome.
To determine the height of the water in the tank with a 6m diameter, we need to compare the volumes of the two tanks.
First, let's calculate the volume of the cylindrical tank with a radius of 4m and a height of 7m. The formula to calculate the volume of a cylinder is V = πr^2h, where V represents the volume, r is the radius, and h is the height.
V1 = π * (4m)^2 * 7m
V1 = π * 16m^2 * 7m
V1 = 112πm^3 (Volume of the cylindrical tank)
Next, let's calculate the volume of the tank with a 6m diameter. Since the diameter (d) is given, we can calculate the radius (r) by dividing the diameter by 2.
r = d/2
r = 6m/2
r = 3m (Radius of the tank with 6m diameter)
Now, let's calculate the volume of the tank with a radius of 3m. Again, we'll use the formula V = πr^2h.
V2 = π * (3m)^2 * h
V2 = π * 9m^2 * h
V2 = 9πh (Volume of the tank with a 6m diameter)
Since the two tanks have the same volume (V1 = V2), we can equate the expressions for their volumes.
112π = 9πh
Dividing both sides of the equation by 9π:
112/9 = h
Therefore, the height of the water in the tank with a 6m diameter is approximately 12.44 meters (rounded to two decimal places).