Question
Download Solution PDFA solid cylinder of radius 20 units is melted so as to make solid cones with radius 4 units but same height as that of the cylinder. How many such cones can be made?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Radius of Solid Cylinder = 20 units, Radius of Solid Cones = 4 units.
Height of the Solid Cylinder = Height of the Solid Cones formed.
Concept:
Volume of Solid Cylinder = Volume of "n" Solid Cones.
Formula used:
Volume of Cylinder = πR2 h.
Volume of Cone = (1/3)πr2h
Calculation:
⇒ Volume of Solid Cylinder = Volume of "n" Solid cones.
⇒ πR2h = (1/3)πr2h×n
⇒ 20 * 20 = (1/3)(4×4×n)
⇒ n = 75
Additional Information Height is equal so it gets cancelled.
n = no. of Solid Cones.
Hence the Correct Answer is Option 1).
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