A cylindrical tank of diameter 4m contains water to a height of 3 m.What area of the surface is wet?
any idea please
assuming you mean surface of the tank, then that would be the same as the surface area of a 3m-high cylinder of water.
So, just use your formula for the lateral surface area of a cylinder.
so the water will not wet one of the base area of the cylinder since you said lateral area and the formula is 2*pie*r*h
ok - you are right. So add the area of the base.
Geez...
Answer
To find the area of the wet surface of the cylindrical tank, we need to determine the lateral area of the cylinder.
The lateral area of a cylinder can be calculated using the formula:
Lateral Area = height × circumference
Step 1: Calculate the circumference of the cylinder.
The diameter is given as 4 meters, which means the radius is half of that, so the radius (r) is 2 meters.
The formula to calculate the circumference of a circle is:
Circumference = 2πr
Substituting the value of the radius into the formula:
Circumference = 2 × π × 2 = 4π meters
Step 2: Calculate the lateral area.
The height is given as 3 meters.
Lateral Area = height × circumference
Lateral Area = 3 × 4π = 12π square meters
So, the area of the wet surface of the cylindrical tank is 12π square meters.