Question
Download Solution PDFA cylinder of height 28 cm and radius 10 cm is melted and formed into 4 square base pyramids each has the same height H and the base length of each pyramid is equal. Find the height of the pyramid, if the length of its base is 20 cm.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFHeight of cylinder = 28 cm
Radius of cylinder = 10 cm
Volume of cylinder = πr2h
⇒ 22/7 × 28 × 10 × 10
⇒ 8800 cm3
Now the cylinder is melted and cast into 4 pyramids of equal volume.
Volume of each pyramid = 8800/4 = 2200 cm3
Volume of pyramid = (area of base × height)/3
Length of the base of pyramid = 20 cm
Area of base of pyramid = 20 × 20 = 400 cm2
⇒ 1/3 × H × 400 = 2200
⇒ H = 16.5 cm
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