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maurice works at the circus and needs to clean the water tank for the dolphins. Tank A measuring 50cm x70cm x70cm was 2 out of seven filled with water. Tank B having a base area of 5000 cubic centimeter was empty. water from Tank A was poured into Tank B. What was the height of water in Tank B

Question

maurice works at the circus and needs to clean the water tank for the dolphins. Tank A measuring 50cm x70cm x70cm was 2 out of seven filled with water. Tank B having a base area of 5000 cubic centimeter was empty. water from Tank A was poured into Tank B. What was the height of water in Tank B

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Solution

Step 1: Calculate the total volume of Tank A. The volume of a rectangular tank (or box) is calculated by multiplying its length, width, and height. So, the volume of Tank A is 50cm * 70cm * 70cm = 245,000 cubic centimeters.

Step 2: Calculate the volume of water in Tank A. The problem states that Tank A was 2/7 filled with water. So, the volume of water in Tank A is 2/7 * 245,000 cubic centimeters = 70,000 cubic centimeters.

Step 3: Calculate the height of water in Tank B. The problem states that the base area of Tank B is 5000 cubic centimeters. The volume of water in a tank is calculated by multiplying the base area by the height. So, the height of water in Tank B is the volume of water divided by the base area. Therefore, the height of water in Tank B is 70,000 cubic centimeters / 5000 cm^2 = 14 cm.

So, the height of the water in Tank B is 14 cm.

This problem has been solved

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