Question

the area of curved surface of right circular cylinder in 792 cm square if the circumference of the base is 44cm find the height of the cylinder​

Answer 1

Step-by-step explanation:

circumferance = 2πr 2×22/7×r=44 so r= 7 now c s a of cylinder = 2πrh so 2× 22/7 ×7 ×h =792 so h = 18

Answer 2

$\huge\rm\underline\purple{GIVEN:}$

• $\large\rm{Curved\:surface\:area\:(CSA)\:=\:792cm^2}$

• $\large\rm{Circumference\:of\:base\:=\:44cm}$

$\huge\rm\underline\purple{TO\:FIND:}$

• $\large\rm{Height\:of\:cylinder}$

$\huge\rm\underline\purple{SOLUTION:}$

$\large\rm\bold{\boxed{Circumference\:of\:base\:of\:cylinder\:=\:2πr}}$

$\large\rm{\implies{44\:=\:2πr}}$

$\large\rm{\implies{44\:=\:2(\frac{22}{7})r}}$

$\large\rm{\implies{44\:=\:\frac{44r}{7}}}$

$\large\rm{\implies{7cm=\:r}}$

$\large\rm\bold{\boxed{CSA\:of\:cylinder\:=\:2πrh}}$

$\large\rm{\implies{2πrh\:=\:792}}$

$\large\rm{\implies{2(\frac{22}{7})(7)h\:=\:792}}$

$\large\rm{\implies{2(22)h\:=\:792}}$

$\large\rm{\implies{h\:=\:\frac{792}{44}}}$

$\large\rm{\implies{h\:=\:18cm}}$

$\large\rm{\therefore{Height\:of\:cylinder\:=\:18cm}}$

$\huge\rm\underline\pink{Additional\:information:}$

• $\large\rm{Volume\:of\:cylinder\:=\:πr^2h}$

• $\large\rm{TSA\:of\:cylinder\:=\:2πr(r+h)}$

$\large\rm{r\rightarrow{Radius\:of\:cylinder}}$

$\large\rm{h\rightarrow{Height\:of\:cylinder}}$