The total surface area of a square is 88πcm². If the radius of the base of the cylinder is 4cm, find its volume.
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Total surface area = 88\pi cm³
Radius of base cylinder = 4cm
Volume of the cylinder =?
Let the height be "h"
= 2\pi r ( r + h) = 88 \pi
\pi gets cancelled
= 2 (4) (4 + h ) = 88
= 8 ( 4 + h ) = 88
= 32 + 8h = 88
8h = 88 - 32
8h = 56
h = 56/8
h = 7cm
Volume of the cylinder = \pi r²h
\pi = 3.14
= 3.14 * (4)² * 7
= 3.14 * 16 * 7
= 351.68 cm³
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