Answer is 125.
Because it's cube root is an integer:)
Answer:
It can hold up to
of waste
<em></em>
Step-by-step explanation:
Given
-- Diameter
-- height
Required
Determine the amount of waste it can hold
This simply means that we calculate the volume of the cylindrical container.
And this is calculated using:

Where

and



So, we have:


<em>Hence, it can hold up to </em>
<em> of waste</em>
A diagram would surely help here. But imagine that you stand at spot A and someone finds that your distance from the base of the building is 42 feet. Call this point B.
Imagine a vertical line from that spot, straight up. Label the top of this line C.
The acute angle at A is 67 degrees. You want to find the height of the building, which would be the length of the "opposite side of triangle ABC."
The length of the "adjacent side of triangle ABC" would be 42 feet.
We don't know the length of the hypotenuse, altho' we could easilyl calculate it using the Pyth. Them.
We choose the tangent function to solve for the height of the building (which is the length of the opposite side.
height
By definition, tangent (67 degrees) = -------------------------------------
42 feet
Find tan 67. Multiply your result by 42 feet. This product is the height of the building.