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The diameter of a solid cylinder is 28cm and its height is 20cm. Find the total surface area(in cm2cm^2cm2​) of the cylinder(Use π=227\pi =\frac{22}{7
Question

The diameter of a solid cylinder is 28cm and its height is 20cm. Find the total surface area(in cm2cm^2​) of the cylinder(Use π=227\pi =\frac{22}{7}​)

A.

2992

B.

2991

C.

2990

D.

2993

Correct option is A

Given:

Diameter of solid cylinder =28cm

Height = 20cm

Formula Used:

Total surface area of cylinder = 2πr(r+h)2\pi r (r +h)​​

Where r anf h are radius and height of cylinder

Solution:

Radius of cylinder =282=14cm \frac{28}{2} =14cm​​

Total surface area =2πr(r+h)2 \pi r (r+h)​ 

=2×227×14(14+20) =2\times \frac{22}{7} \times 14 ( 14+20)​​

=2×22×2×34= 2 \times 22 \times 2 \times 34​​

=2992cm2= 2992cm^2​​

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