Find the curved surface area and the total surface area of cylinder if its volume is 22176cm^3 and height is 36 cm.
Find the curved surface area and the total surface area of cylinder if its volume is 22176cm^3 and height is 36 cm.
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Answer:
Given,
Volume = 22176cm³
Height = 36 cm
Find,
The curbed surface area
Step-by-step explanation:
SOLUTION
SO,
Let r be the radius of the base of the cylinder .
We know that
V = πr²h Or r² = V / πh
=> r² = 7*22176 / 22*36 cm² = 196 cm²
=> r = √196 cm
=> r = 14 cm
=> Curved surface area of the cylinder = 2πrh
= 2*22/7*14*36 cm²
= 3168 cm²
and total surface area of the cylinder = 2πr (r+h)
= 2*22/7*14*(14+36) cm²
= 4400 cm²
Hence,
curved surface area is 4400 cm²