Find the depth of a pond if its radius is 1.5m and the amount of water it can hold it can hold is 755.6
We can use the formula for the volume of a cylinder:
V = πr^2h
where V is the volume of the cylinder (in this case, the amount of water the pond can hold), r is the radius of the cylinder (in this case, 1.5m), and h is the height or depth of the cylinder (what we are trying to find).
Plugging in the values we have:
755.6 = π (1.5)^2 h
Solving for h:
h = 755.6 / π (1.5)^2
h ~ 105.6
Therefore, the depth of the pond is approximately 105.6 meters.
To find the depth of a pond, we can use the formula for the volume of a cylinder, which is given by:
Volume = π * r^2 * h
Where:
- Volume is the amount of water the pond can hold
- π is a mathematical constant, approximately equal to 3.14159
- r is the radius of the pond
- h is the depth of the pond
Given that the radius (r) of the pond is 1.5m and the volume is 755.6, we can rearrange the equation to solve for the depth (h).
Volume = π * r^2 * h
755.6 = 3.14159 * 1.5^2 * h
Let's solve it step-by-step:
1. Calculate the area of the base of the pond:
Area = π * r^2
Area = 3.14159 * 1.5^2
2. Divide the volume by the area to find the depth:
h = Volume / Area
h = 755.6 / (3.14159 * 1.5^2)
Now, let's calculate the depth:
1. Calculate the area:
Area = 3.14159 * 1.5^2
Area ≈ 7.06858
2. Calculate the depth:
h = 755.6 / (3.14159 * 1.5^2)
h ≈ 755.6 / 7.06858
h ≈ 106.99 m
Therefore, the depth of the pond is approximately 106.99 meters.