The curved surface area of a cylinder is 176cm2. The base diameter of this cylinder if its height is 8cm is
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Answer:
ANSWER
Base area of cylinder =πr2=38.5cm2(Given)
⇒πr2=38.5
⇒r2=2238.5×7
⇒r=12.25=3.5cm
CSA of cylinder =2πrh=176cm2(Given)
∴2πrh=176
⇒h=2×22×3.5176×7=8cm
Therefore,
Volume of cylinder =πr2h
=722×(3.5)2×8=308cm3
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Step-by-step explanation:
• Curved Surface Area of Cylinder = 2πrh
→ 2πrh = 176 cm²
→ 2 × 22/7 × r × 8 = 176
→ r = (176 × 7) ÷ (2 × 22 × 8)
→ r = 1,232 ÷ 352
→ r = 3.5 cm
Now, radius (r) of the base of the cylinder is 3.5 cm.
Since, Diameter (d) = 2 × radius (r)
→ d = 2 × 3.5 cm
→ d = 7 cm
Therefore, the diameter of the base of the given cylinder is 7 cm.
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