# A cylinder has a diameter of 14 cm and its area of the curved surface is 220 cm2 the volume of the cylinder is:

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1. 3080 cm3
2. 1000 cm3
3. 770 cm3
4. 1540 cm3

## Answer (Detailed Solution Below)

Option 3 : 770 cm3

## Detailed Solution

Given:

• Diameter of cylinder = 14 cm
• Curved surface area of cylinder = 220 cm2

Concept:

• Curved surface area of cylinder (CSA) = 2πrh
• Volume of cylinder = πr2h

Formula used:

$$Radius = \frac{Diameter}{2}$$     ----(1)

Calculation:

Here, r = 14/2 = 7 cm      [using (1)]

We know that the curved surface area of cylinder = 2πrh

⇒ 220 = 2 × $$\frac{22}{7}$$ × 7 × h

h = 5 cm

Now, we know that the volume of the cylinder = πr2h

⇒ $$\frac{22}{7}$$ × 7 × 7 × 5      (∵ r = 7 cm and h = 5 cm)

770 cm3

Hence, the volume of the cylinder is 770 cm3.
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