A wooden article was made by scopping out a hemisphere from each end of a solid cylinder, as shown in given figure.  If the height of the cylinder is 10 cm and its base radius is 3.5 cm,  find the total surface area of article

Asked by jaychandran1967 | 30th Mar, 2017, 11:56: AM

Expert Answer:

Total space surface space area space of space the space article space equals space Curved space surface space area space of space the space cylinder space plus space 2 space left parenthesis Curved space surface space area space of space straight a space hemisphere 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 space space space space space space space space space space space space space space space space space space space equals 2 πrh space plus space 2 left parenthesis 2 πr squared 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 space space space space space space space space space space space space space space space space space space space equals 2 πrh space plus 4 πr squared
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 space space space space space space space space space space space space space space space space space space equals 2 πr left parenthesis straight h space plus 2 straight r 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 space space space space space space space space space space space space space space space space space space space equals 2 cross times 22 over 7 cross times 3.5 space left parenthesis 10 space plus 2 left parenthesis 3.5 right parenthesis 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 space space space space space space space space space space space space space space space space space space space equals 2 cross times 22 over 7 cross times 3.5 space cross times 17
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 space space space space space space space space space space space space space space space space space space equals 2 cross times 22 space cross times 0.5 space cross times 17
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 space space space space space space space space space space space space space space space space space space equals 374 space cm squared
Hence comma space the space total space surface space area space of space the space article space is space space 374 space cm squared.

Answered by Rebecca Fernandes | 30th Mar, 2017, 12:38: PM

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