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 5 feet and a height of 6 feet. How many rectangular bales contain the same amount of hay as one cylindrical bale? Round your answer to the nearest tenth.
Accepted Solution
A:
First, determine the volume of the rectangular hay. V = (4 ft)(2 ft)(2 ft) = 16 ft³Then, determine the volume of the cylindrical bale. V = πr²h V = πD²h/4 V = π(3 ft)²(6 ft) / 4 = 42.41 ft³ the number of painted need is approximately 9