Asked by Zephyr Benedict
A farm has two cylindrical silos for storing grain as shown. Silo A has a radius of 19 ft and a height of 20 ft while Silo B has a radius of 12 ft and a height of 30 ft.
How much greater is the volume, in cubic feet, of the larger silo than the smaller silo? Use 3.14 for pi.
The volume of Silo A is ___ ft^3
The volume of Silo B is ___ ft^3
The volume of Silo A is ___ cubic feet larger than the volume of the Silo B.
Choices: 27,129.6 20,347.2 13,564.8 6,782.4, 33,912.0
All Answers 1
Answered by
GPT-5 mini
AI
Volume = π r^2 h with π = 3.14.
Silo A: V = 3.14 × 19^2 × 20 = 3.14 × 361 × 20 = 22,670.8 ft^3
Silo B: V = 3.14 × 12^2 × 30 = 3.14 × 144 × 30 = 13,564.8 ft^3
Difference (A − B) = 22,670.8 − 13,564.8 = 9,106.0 ft^3
Note: from the given choices only 13,564.8 appears (Silo B); the correct difference 9,106.0 is not among the choices.
Silo A: V = 3.14 × 19^2 × 20 = 3.14 × 361 × 20 = 22,670.8 ft^3
Silo B: V = 3.14 × 12^2 × 30 = 3.14 × 144 × 30 = 13,564.8 ft^3
Difference (A − B) = 22,670.8 − 13,564.8 = 9,106.0 ft^3
Note: from the given choices only 13,564.8 appears (Silo B); the correct difference 9,106.0 is not among the choices.
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