Question

find the height of the cylinder whose radius is 7cm and total surface area is 748 cm²

Answer 1

This was the answer that you ask

Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\therefore{\text{Height\:of\:cylinder=10\:cm}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{ \underline \bold{Given : }} \\ : \implies \text{Radius(r) = 7\: m} \\ \\ : \implies \text{T.S.A\:of\:cylinder= 748\: m}^{2} \\ \\ \red{ \underline \bold{To \: Find : }} \\ : \implies \text{Height\: of \: cylinder(h) = ? }$

• According to given question :

$\bold{As \: we \: know \: that} \\ : \implies \text{T.S.A\: of \: cylinder} =2\pi r(h + r) \\ \\ : \implies 748=2 \times \frac{22}{7} \times 7(h+ 7) \\ \\ :\implies748\times7=308 \times (h+7) \\ \\ :\implies h=\frac{5236}{308}-7\\\\ \green{ : \implies \text{Height\: of \: cylinder} =10 \: {cm}}\\\\ \purple{\text{Some\:formula\:related\:to\:this\:topic}}\\ \pink{\circ\:\text{Volume\:of\:cylinder}=\pi r^{2}h}\\\\ \pink{\circ\:{C.S.A\:of\:cylinder}=2\pi rh}$