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yan [13]
2 years ago
15

The greenhouse pictured below can be modeled as a rectangular prism with a half-cylinder on top. The rectangular prism is 20 fee

t wide, 12 feet high, and 45 feet long. The half-cylinder has a diameter of 20 feet.
To the nearest cubic foot, what is the volume of the greenhouse?
Mathematics
1 answer:
svet-max [94.6K]2 years ago
3 0

The volume of the greenhouse made from a rectangular prism with a half-cylinder on top is 17869 ft³

<h3>What is volume?</h3>

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of the rectangular prism = length * width * height = 20 * 12 * 45 = 10800 ft³

The volume of the half cylinder = (1/2) * π * (diameter/2)² * height = 0.5 * π * (20/2)² * 45 = 7069 ft³

Volume of the greenhouse = 10800 ft³ + 7069 ft³ = 17869 ft³

The volume of the greenhouse made from a rectangular prism with a half-cylinder on top is 17869 ft³

Find out more on volume at: brainly.com/question/12410983

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The approximate solution to the given system of equation is (-2.71, 2.14)

<h3>Solving a system of linear equations</h3>

From the question, we are to determine the approximate solution to the given system of linear equations.

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From the given information, we are to show the solutions on a graph

The graph that shows the solution to the given system of equation is shown below.

The solution to the given system is the point of intersection of the lines. The coordinate of the point of intersection of the lines is (-2.71, 2.14). That is, x = -2.71, y = 2.14.

Hence, the approximate solution to the given system of equation is (-2.71, 2.14)

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