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Units And Measurement

Question
CBSEENPH11019865

The surface area of a solid cylinder of radius 2.0 cm and height 10.0 cm is equal to
...(mm)2

Solution
1.5 x 104 mm2

The total surface area of a cylinder of radius r and height h is

S = 2πr (r + h).
Given space that comma space

straight r space equals space 2 space cm space equals space 2 cross times 10 space mm space equals space 20 space mm space

straight h space equals space 10 space cm space equals 10 space cross times 10 space mm space equals space 100 space mm space

So comma space

Surface space area comma space straight S space equals space 2 cross times 3.14 cross times 20 cross times left parenthesis 20 plus 100 right parenthesis

space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 15072 space

space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 1.5 space cross times 10 to the power of 4 space mm squared