​A cylinder has a height of 14 cm and a curved surface area of 660 $$cm^2$$​, then the volume of the cylinder is: ​

Correct option is B

Given:

Height (h) = 14 cm

Curved Surface Area (CSA) = 660 cm²

Formula Used:

Curved Surface Area (CSA) of a cylinder = 2πrh

Volume of a cylinder  = πr²h

Where:

r = radius of the base

h = height of the cylinder

Solution: 

Now,  

CSA = 2 πrh

660 = 2 $$\times$$​ π ×r $$\times$$​ 14

​r = $$\frac{660}{2 ×​ π ×​ 14}$$     (π=$$\frac{22}{7}$$)​

r ≈ 7.5 cm 

Using the formula for the volume:

Volume =  π r²h

= π(7.5)² $$\times 14$$ ≈ 2475 cm³

Thus, option (B) is right.

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