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What is the volume of the greenhouse?
JMAP geometry math prism cylinder 0 The greenhouse pictured below can be modeled as a rectangular prism with a half-cylinder on top. The rectangular prism is 20 feet 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?

1) 17,869

3) 39,074

2) 24,937

4) 67,349

45 views Share Follow University of Benin Nigeria
23 June 2020 University of Lagos Nigeria
12 August 2020 0 Since the greenhouse comprises of a rectangular prism and half a cylinder, the volume of the railing = volume of rectangular prism + half the volume of a cylinder.

Volume of rectangular prism = L x H x W.

Where H is the height of the rectangular section of the greenhouse, H is the height of the rectangular section of the greenhouse and W is the width of the rectangular section of the greenhouse.

Thus, volume of the rectangular section of the greenhouse = 45 x 20 x 12

= 10,800

Volume of cylinder = πr2h. Where r is the radius and h is the height.

radius = diameter/2 = 20/2 = 10

volume of the cylindrical section = π x (10)2 x 45

= 4500π

Thus, half the volume = 4500π/2

= 2250π

Therefore, the total volume = 10800 + 2250π

= 17,869

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