Question

find the height of cylinder whose radius is 7cm and total surface area is 1100sqcm. ​

Answer 1

Answer:

25 cm

Step-by-step explanation:

TSA OF CYLINDER=1100 CM²

2πrh=1100

2×22×7×h/7=1100

44h=1100

h=1100/44

h=25 cm

Answer 2

$\huge{\underbrace{\bold{\bf{\red{Given\:}}}}}$

• $\tt{Total\:Surface\:Area\:=\:1100\:cm}^{2}$
• $\tt{Radius\:=\:7\:cm}$

${ }$

$\huge{\underbrace{\bold{\bf{\red{Find\:}}}}}$

• $\tt{Height\:of\:Cylinder}$

${ }$

$\huge{\underbrace{\bold{\bf{\red{Solution\:}}}}}$

• $\tt{Let\:height\:of\:the\:cylinder\:=\:h}$

${ }$

$\square\:{\sf{\bold{Then,\:total\:surface\:area\:=\:2\:\pi\:r\:(h\:+\:r)}}}$

${ }$

$\:\:\:\:\:\:\:\:\:\:\:\:\:\leadsto{\tt{2\:\times\:{\frac{22}{7}}\:\times\:7\:(h\:+\:7)\:=\:1100}}$

$\:\:\:\:\:\:\:\:\:\:\:\:\:\leadsto{\tt{44\:(h\:+\:7)\:=\:1100}}$

$\:\:\:\:\:\:\:\:\:\:\:\:\:\leadsto{\tt{44\:h\:+\:308\:=\:1100}}$

$\:\:\:\:\:\:\:\:\:\:\:\:\:\leadsto{\tt{44\:h\:=\:1100\:-\:308}}$

$\:\:\:\:\:\:\:\:\:\:\:\:\:\leadsto{\tt{h\:=\:{\frac{792}{44}}\:=\:18\:cm}}$

${ }$

$\:\:\:\:\therefore{\underline{\sf{Hence\:the\:Height\:of\:Cylinder\:is\:{\bold{18\:cm}}}}}$