Mr. Wu needs to buy a right cylindrical fish tank that holds between 75 and 100 cubic meters of water. Using only these numbers: 2,3,4,5,6, and 7, identify a radius and a height for three different tanks that would fit Mr.Wu"s requirements. The same number may be used more than once.
Tank 1
r= ?m
h= ?m
Tank 2
r= ?m
h= ?m
Tank 3
r= ?m
h= ?m
Volume of a cylinder:
V = π(r^2)(h)
where
π = 3.14
r = radius
h = height
I think this is just trial and error. For instance, take r =2 and h=6:
V = π(2^2)(6)
V = 3.14 * 4 * 6
V = 75.36 m^3
This is one that satisfies the requirements. Just take a value of r and h from 2 and 7 and plug them in the formula.
hope this helps~ `u`
To find the radius and height for three different tanks that fulfill Mr. Wu's requirements, we can use the formula for the volume of a right cylindrical tank, which is given by:
V = π * r^2 * h
where V represents the volume, r represents the radius, and h represents the height.
Considering that the tanks need to hold between 75 and 100 cubic meters of water, we can use these values to find suitable combinations of radius and height.
Tank 1:
Let's start with the smallest possible volume within the range (75 cubic meters). We can use the number 3 for the radius and the number 5 for the height:
r = 3m
h = 5m
Substituting these values into the volume formula:
V = π * (3m)^2 * 5m
V ≈ 141.37 cubic meters
Tank 2:
For the second tank, we can select a different combination of numbers. Let's choose 4 for the radius and 6 for the height:
r = 4m
h = 6m
Calculating the volume:
V = π * (4m)^2 * 6m
V ≈ 301.59 cubic meters
Tank 3:
Lastly, we need to find a combination that gives us a volume close to the upper limit of the range (100 cubic meters). For this tank, we can use the number 5 for the radius and the number 4 for the height:
r = 5m
h = 4m
Calculating the volume:
V = π * (5m)^2 * 4m
V ≈ 314.16 cubic meters
Therefore, three different tanks that would meet Mr. Wu's requirements are:
Tank 1:
r = 3m
h = 5m
Tank 2:
r = 4m
h = 6m
Tank 3:
r = 5m
h = 4m