Question

The total surface area of a cylinder is 924 cm2.If it's radius of base is 7cm. find its height and volume.​

Answer 1

$\large{\sf{❣\:Solution}}\\\\\bf\pink{Total\:surface\:area\:of\:a\:cylinder\:=\:2\pi r\:(h\:+\:r)}\\\\\longmapsto\sf 924\:=\:2\:\times\:3.14\:\times\:7\:(h\:+\:7)\\\\\longmapsto\sf 924\:=\:44\:(h\:+\:7)\\\\\longmapsto\sf \dfrac{924}{44}\:=\:h\:+\:7\\\\\longmapsto\sf 21\:-\:7\:=\:h\\\\\underline{\bf{14\:=\:Height}}$

$\bf\pink{Volume\:of\:a\:cylinder\:=\:\pi r^2h}\\\\\longmapsto\sf Volume\:of\:a\:cylinder\:=\:\dfrac{22}{7}\:\times\:7\:\times\:14\\\\\longmapsto\sf Volume\:of\:a\:cylinder\:=\:22\:\times\:14\\\\\underline{\bf{Volume\:of\:a\:cylinder\:=\:308}}$