A layer of crushed rock must be spread Over a circular area 23 feet in diameter how deep a layer will be obtained using 200 ft^3 of rock

The depth of the layer is blank feet

1 answer

To find the depth of the layer, we first need to calculate the area of the circular area.

Area of a circle = πr^2
Given that the diameter is 23 feet, the radius (r) is half of the diameter, so r = 23/2 = 11.5 feet

Area = π(11.5)^2 = 415.08 ft^2

Now, we need to find the volume of the layer by multiplying the area by the depth.

Volume = Area x Depth

Given that 200 ft^3 of rock is spread over the circular area, we can set up the equation as:

200 = 415.08 x Depth

Solving for Depth:

Depth = 200 / 415.08
Depth ≈ 0.482 feet

Therefore, a layer of crushed rock with a depth of approximately 0.482 feet will be obtained using 200 ft^3 of rock over a circular area with a diameter of 23 feet.