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An engineer is designing a fuel tank in the shape of a cylinder. The tank must have a volume of 3,500 cubic inches. The height of the cylinder must be twice the radius. What is the approximate radius of the cylinder? PLEASE HELP ME!!!! ITS THE TEST FROM PERFORMANCE MATTERS

User Shawn Aukstak
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1 Answer

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23 votes

Answer: 24 inches

Explanation:

Let the radius be represented by x

Therefore, the height will be = 2×x = 2x

Volume of a cylinder = πr²h

where, Volume = 3500

π = 3.14

r = x

h = 2x

We then slot in the values into the formula

Volume = πr²h

3500 = 3.14 × x² × 2x

3500 = 3.14 × 2x²

2x² = 3500 / 3.14

2x² = 1114.65

Divide through by 2

x² = 1114.65 / 2

x² = 557

x = ✓557

x = 23.6 = 24 approximately

The radius is 24 inches

User Satyadeep
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