Question

The curved surface area of a cylinder is 176cm2. The base diameter of this cylinder if its height is 8cm is​

Answer 1

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

Answer 2

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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