The base radius of a circular cylinder is 10.5 cm. If the area of its curved surface is 792 cm², then what is the volume of the cylinder?

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Accepted Answer

Given:
- Radius (r) = 10.5 cm
- Curved Surface Area (CSA) = 792 cm²

Formula for curved surface area of a cylinder:
CSA = 2πrh

Step 1: Calculate the height (h) of the cylinder.

792 = 2 × π × 10.5 × h

Using π ≈ 3.14,
792 = 2 × 3.14 × 10.5 × h
792 = 65.94 × h

h = 792 / 65.94 ≈ 12 cm

Step 2: Calculate the volume (V) of the cylinder.

Volume formula:
V = πr²h

V = 3.14 × (10.5)² × 12
= 3.14 × 110.25 × 12
= 3.14 × 1323
= 4157.22 cm³ ≈ 4158 cm³

Therefore, the volume of the cylinder is approximately 4158 cm³.

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