a square rod of side 14cm and height 28cm it forged in to a cylinder of 40cm length.find its diameter
Answers
STEP 1: Find volume of the square-based rod:
Volume of a cuboid = Length x Breadth x Height
Volume of the square-based rod = 14 x 14 x 28 = 5488 cm³
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STEP 2: Form equation:
Volume of a cylinder = πr²h
Given height = 40 cm
40πr² = 5488 cm³
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STEP 3: Solve x:
40πr² = 5488
r² = 5488 ÷ 40π
r² = 43.67
r = √43.67
r = 6.6 cm
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STEP 4: Find diameter:
Diameter = radius x 2
Diameter = 6.6 x 2 = 13.2 cm
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Answer: Diameter = 13.2 cm