A spherical container has a diameter of 100 centimeters. It is filled with a liquid that costs $80 per cubic centimeter. What is the total value of the liquid in the container?

Use 3.14 for π.
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Answer:

The total value of the liquid in the container is about $41,866,666.67.

Step-by-step explanation:

A spherical container has a diameter of 100 centimeters.

It is filled with a liquid that costs $80 per cubic centimeter.

And we want to determine the total value of the liquid in the container.

We can start by finding the volume of the container.

Since the container has a diameter of 100 centimeters, its radius if 50 centimeters.

The volume of a sphere is given by:

[tex]\displaystyle V=\frac{4}{3}\pi r^3[/tex]

Substitute. We will also use 3.14 for π. So:

[tex]\displaystyle =\frac{4}{3}(3.14)(50)^3=523333.33...\text{ cm}^3[/tex]

(Try not to round intermediate values.)

Since each cubic centimeter costs $80, we will multiply the total volume by the cost per cubic centimeter to find the total value. Thus, the total value is:

[tex](523333.\overline{3})(80)\approx \$41, 866, 666.67[/tex]

The total value of the liquid in the container is about $41,866,666.67.

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