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Find the total surface area of a cylinder whose radius of base is 7 cm and height is 12 cm. 
Question

Find the total surface area of a cylinder whose radius of base is 7 cm and height is 12 cm. 

A.

303π cm²

B.

266π cm²

C.

208π cm²

D.

280π cm²

Correct option is B

Given:

Radius of cylinder (r) =7cm

Height of cylinder (h)=12cm 

Total surface area = ?

Formula Used:

The total surface area A of a cylinder is given by the formula:

A=2πr(r+h)A = 2\pi r(r + h) 

​Where:

r is the radius of the base,

h is the height of the cylinder.

Solution:

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

Substituting the values into the formula: 

A = 2π × 7 × (7 + 12) 

A = 2π × 7 × 19 

A = 2π × 133

A = 266π cm2cm^2 

Thus, the total surface area of the cylinder is 266π cm2cm^2

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