Wheeler Stuart
10/27/2023 · Middle School
13. For two cylinders \( A \) and \( B \), the ratio of lengths is \( 3: 1 \) and the ratio of diameters is \( 1: 2 \). Calculate the ratio of their volumes. 14. A machine makes boxes which are either perfect cylinders of diameter and length 4 cm , or perfect cubes of side 5 cm . Which boxes have the greater volume, and by how much? (Take \( \pi=3 \) ) 15. Natalia decided to build a garage and began by calculating the number of bricks required. The garage was to be 6 m by 4 m and 2.5 m in height. Each brick measures 22 cm by 10 cm by 7 cm . Natalia estimated that she would need about 40000 bricks. Is this a reasonable estimate?
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1. The ratio of the volumes of cylinders \( A \) and \( B \) is \( \frac{3}{4} \).
2. The cube has a greater volume by 77 cm³.
3. Natalia's estimate of 40,000 bricks is reasonable.
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