Question
Download Solution PDFThe circumference of the base of a solid right circular cylinder is 136.4 cm and its height is 50 cm. What is the volume (in cm3) of the cylinder? (Take \(\pi = {22 \over 7}\)).
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Circumference of Base = 136.4 cm
Height of cylinder = 50 cm
Formula used:
Circumference of the base of the cylinder = 2 π R
The volume of the cylinder = π R2 h
Where,
R = Radius of the base of the cylinder
h = Height of cylinder
Calculations:
Let the radius of the base of the cylinder be R
⇒ \(2 × {22\over 7} × R = 136.4\)
⇒ R = 21.7 cm
Volume of cylinder = \({22\over 7}\times 21.7\times 21.7\times50\)
⇒ 73997 cm3
∴ The volume of cylinder is '73997 cm3.
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