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What is the total surface area of a cylinder having radius of base as 4.2 cm and height as 8 cm?
Question

What is the total surface area of a cylinder having radius of base as 4.2 cm and height as 8 cm?

A.

346.04 cm²

B.

246.58 cm²

C.

284.92 cm²

D.

322.08 cm²

Correct option is D

Given:
Radius of the cylinder (r) = 4.2 cm
Height of the cylinder (h) = 8 cm
Concept Used:
The total surface area (TSA) of a cylinder includes the area of the two circular bases and the curved surface area.
Formula Used:
Total Surface area:
(TSA) = 2πr(r+h)2\pi r(r+h)
Solution:
Total Surface area (TSA)= 2πr(r+h)
=2×3.14×4.2(4.2+8) =2×227×4.2×12.2 =322.08 cm2=2\times3.14\times4.2(4.2+8)\\ \ \\= 2\times\frac{22}{7}\times4.2\times12.2\\ \ \\ =322.08 \: cm^2​​

2πr(r+h)2\pi r(r+h)2πr(r+h)

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