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Gekata [30.6K]
3 years ago
11

Determine the height of the can of beans(cylinder) given the volume of the

Mathematics
1 answer:
Natalka [10]3 years ago
5 0

Answer:

4in

Step-by-step explanation:

Given parameters:

  Volume of can  = 314in

  Radius  = 5in

Unknown:

Height of the cylinder = ?

Solution:

The height of a cylinder is mathematically given as;

   V = πr²h

Where r is the radius

           h is the height

Input the parameters and solve for h;

          314  = 3.142 x 5² x h

     h  = 4in

The height of the cylinder is 4in

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A geometric sequence can be written as:

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Substituting the numbers, we have:

a_{n} = 4 \cdot (\frac{1}{2})^{n-1}

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This is an exponential function with base less than 1. Therefore, we can exclude graph C (which depicts a linear function), and graphs A and D (which depict an exponential function with base greater than 1).


In order to choose between graph B and E, let's evaluate the function in two different points:

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Therefore, we need to look for the graph passing through the points (1, 4) and (2, 2). That is graph E.




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