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proz

Answer:

Volume of the lake = 6.44 × 10¹¹ Litres

Step-by-step explanation:

First, let us unify the units of measurement in the problem by converting the depth from feet to miles

1 mile = 5280 feet

1 foot = 1/5280 miles

∴ 51.0 Feet = 51.0 × (1/5280) miles

= 0.009659 miles

Next, let us calculate the volume of the lake.

Volume = surface area × depth

surface area = 16.0 (mi)²

depth = 0.009659 mi

volume = 16.0 × 0.009659 = 0.15454 (mi)³

Next, since we are asked to report the volume in litres, let us convert from cubic miles to litres

1 cubic mile = 4.168 × 10¹² litres

∴ 0.15454 cubic miles = 4.168 × 10¹² × 0.15454

= 6.44 × 10¹¹ Litres

∴ Volume of the lake = 6.44 × 10¹¹ Litres

asuwafohjames

The volume of the lake is 6.46×10¹¹ liters.

To get the volume of the lake in liters, we need to calculate the volume in square miles and then convert it to liters.

Formula:

  • V = Ah................... Equation 1

Where:

  • V = Volume of the lake
  • A = Surface area of the lake
  • h = height of the lake.

From the question,

Given:

  • A = 16.0 square miles
  • h = 51.0 feet = (51×0.00019) feet = 0.00969 miles

Substitute these values into equation 1

  • V = 16(0.00969)
  • V = 0.15504 miles
  • V = (0.15504×4.168×10¹²) liters
  • V = 6.46×10¹¹ liters

Hence, the volume of the lake is  6.46×10¹¹ liters

Learn more about volume here: https://brainly.com/question/12410983

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