Middle School

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100 points and brainliest


The diagram shows a watering trough for farm animals.


Part A) find the volume of water the trough Will hold to the nearest Cubic inch.



Part B) one gallon of water takes approximately 231 cubic inches. find the capacity of the trough to the nearest gallon.

100 points and brainliest The diagram shows a watering trough for farm animals Part A find the volume of water the trough Will hold to

Answer :

Answer:

V = 17663 in^3


76 gallons

Step-by-step explanation:

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Rewritten by : Barada

Answer:

V = 17663 in^3

76 gallons

Step-by-step explanation:

This figure is 1/2 of a cylinder

We can find the volume of a cylinder and take 1/2

V = pi r^2 h

The diameter is 30 so the radius is 1/2 d = 1/2(30) = 15

and the height is 50

V = pi * (15)^2 (50)

V =11250 pi

V= 11250 (3.14)

V =35325 in^3

We need to take 1/2 of this volume since this is 1/2 of the cylinder

1/2 V = 1/2(35325) =17662.5 in ^3

To the nearest cubic inch

V = 17663 in^3

B. We need to convert cubic inches to gallons

1 gallon = 231 in^3

17663 in^3 * 1 gallon/ 231 in^3 = 17663/231 gallons =76.46103896 gallons

To the nearest gallon

76 gallons