Three glasses have capacity of 750 litre, 1950 litre, and 600 litres. 2046 litre of wine is poured into them so that the same fraction of each is filled. the volume filled in the largest glass will be

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Three glasses have capacity of 750 litre, 1950 litre, and 600 litres. 2046 litre of wine is poured into them so that the same fraction of each is filled. the volume filled in the largest glass will be 1215 litres

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Three glasses have capacity of 750 litre, 1950 litre, and 600 litres. 2046 litre of wine is poured into them so that the same fraction of each is filled. the volume filled in the largest glass will be 1215 litres

Three glasses have capacity of 750 litre, 1950 litre, and 600 litres. 2046 litre of wine is poured into them so that the same fraction of each is filled. the volume filled in the largest glass will be

The Correct answer is 1215 litres

Explanation

Total capacity = 750 + 1950 + 600 = 3300 litres

Next, we need to find the fraction of the total capacity that each glass represents:

Fraction for the first glass = 750 / 3300 = 5 / 22

Fraction for the second glass = 1950 / 3300 = 13 / 22

Fraction for the third glass = 600 / 3300 = 4 / 22

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Since the same fraction of each glass is filled, the volume of wine in each glass will be:

Volume in the first glass = (5 / 22) * 2046 = 465 litres

Volume in the second glass = (13 / 22) * 2046 = 1215 litres

Volume in the third glass = (4 / 22) * 2046 = 366 litres

Therefore, the volume filled in the largest glass is 1215 litres

How to Calculate Volume?

1. Rectangular prism (box):

  • Volume (V) = length (l) × width (w) × height (h)

2. Cube:

  • Volume (V) = side (s) ³ (all sides are equal)

3. Cylinder:

  • Volume (V) = π (pi) × radius (r) ² × height (h)

4. Sphere:

  • Volume (V) = (4/3) × π × radius (r) ³

5. Cone:

  • Volume (V) = (1/3) × π × radius (r) ² × height (h)

6. Pyramid:

  • Volume (V) = (1/3) × base area (A) × height (h)

Steps to calculate volume:

  1. Identify the shape of the object.
  2. Measure the necessary dimensions using a ruler, measuring tape, or calipers (depending on the shape).
  3. Substitute the measured values into the appropriate formula.
  4. Perform the calculations, paying attention to units (e.g., length in centimeters, volume in cubic centimeters).

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Source: Math Hello Kitty
Categories: Math