Item 15 a bale of hay in the shape of a rectangular prism has a length of 4 feet, a width of 2 feet, and a height of 2 feet. a cylindrical bale of hay has a diameter of 3 feet and a height of 6 feet. how many rectangular bales contain the same amount of hay as one cylindrical bale?

Question

Mathematics

Nikolai Pugh

17 September, 11:36

Item 15 a bale of hay in the shape of a rectangular prism has a length of 4 feet, a width of 2 feet, and a height of 2 feet. a cylindrical bale of hay has a diameter of 3 feet and a height of 6 feet. how many rectangular bales contain the same amount of hay as one cylindrical bale?

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Lexi · Answer 1

First, determine the volume of the rectangular hay.

V = (4 ft) (2 ft) (2 ft) = 16 ft³

Then, determine the volume of the cylindrical bale.

V = πr²h

V = πD²h/4

Substituting,

V = π (3 ft) ² (6 ft) / 4 = 42.41 ft³

So, the number of painted need is approximately 9 needs.