a hosepipe feeds water into a tank of height 2m and an internal diameter of 1.6m. Calculate the volume of water in the tank when it is full.
Please help as I'm very confused :)
volume = pi r^2 h
plug in your numbers, your r = .8
So the answer is 1.8 cm cubed?
I mean 1.28
To calculate the volume of water in the tank, we need to use the formula for the volume of a cylinder. The formula is:
Volume = π × r^2 × h
Where:
- Volume is the volume of the cylinder (in this case, the water in the tank)
- π is a mathematical constant approximately equal to 3.14159
- r is the radius of the base of the cylinder
- h is the height of the cylinder (in this case, the height of the tank)
To find the radius, we need to apply the formula:
Radius = diameter / 2
Let's calculate the radius first:
Radius = 1.6m / 2
Radius = 0.8m
Now we can calculate the volume of the tank:
Volume = π × (0.8m)^2 × 2m
Simplifying the equation:
Volume = π × 0.64m^2 × 2m
Volume = π × 1.28m^3
Since we're given an approximate value for π, we can substitute it:
Volume ≈ 3.14159 × 1.28m^3
Volume ≈ 4.0314m^3
So, the volume of water in the tank when it is full is approximately 4.0314 cubic meters.