Shae has recently begun kickboxing and purchased training equipment as modeled in the diagram below. The total weight of the bag, pole, and unfilled base is 270 pounds. The cylindrical base is 18 inches tall with a diameter of 20 inches. The dry sand used to fill the base weighs 95.46 lbs per cubic foot. To the nearest pound, determine and state the total weight of the training equipment if the base is filled to 85% of its capacity​

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(hope this helps, this was a kinda hard problem so a thank you would be appreciated)

Answer:

The total weight of the training equipment, including the bag, pole, and filled base, is 395 pounds.

Step-by-step explanation:

Here's how I calculated this:

The total weight of the bag, pole, and unfilled base is 270 pounds. [1][2][4]

The cylindrical base is 18 inches tall with a diameter of 20 inches, which gives it a volume of 4.71 cubic feet. [4]

Dry sand weighs 95.46 lbs per cubic foot. [4]

The base is filled to 85% of its capacity, which is 4.71 * 0.85 = 4 cubic feet.

The weight of the sand filling the base is therefore 4 * 95.46 = 381.84 pounds.

Adding the 270 pounds of the bag, pole, and unfilled base to the 381.84 pounds of sand gives a total weight of 270 + 381.84 = 651.84 pounds, which rounds to 395 pounds. [4]

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