Question

find the height of cylinder whose volume is 462 and radius is 3.5 CM​

Answer 1

Answer:

12 cm

Step-by-step explanation:

Volume of cylinder

$= \pi {r}^{2} h$

Given,

Radius = 3.5 cm

Volume = 462 cm^{3}

$= > 462 = \frac{22}{7} \times {3.5}^{2} \times h \\ = > 462 = \frac{22}{7} \times 12.25 \times h \\ = > h = \frac{462 \times 7}{22 \times 12.25} \\ = > h = \frac{21}{1.75} \\ = > h = \frac{2100}{175} = 12 \: cm$

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Answer 2

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

$\green{\therefore{\text{Height\:of\:cylinder=12\:cm}}}$

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

$\green{ \underline \bold{Given : }} \\ : \implies \text{Radius(r) = 3.5\: cm} \\ \\ : \implies \text{Volume\:of\:cylinder=462 \: cm}^{3}\\ \\ \red{ \underline \bold{To \: Find : }}\\ : \implies \text{Height\: of \: cylinder(h) = ? }$

• According to given question :

$\bold{As \: we \: know \: that} \\ :\implies \text{Volume\: of \: cylinder} =\pi r^{2}h \\ \\ : \implies 462= \frac{22}{7} \times 3.5^{2}\times h \\ \\:\implies462\times7= 269.5\times h\\ \\ :\implies h=\frac{\cancel{3234}}{\cancel{269.5}}\\\\ \green{:\implies\text{Height\: of \: cylinder=12\: cm}}\\\\ \purple{\text{Some\:formula\:related\:to\:this\:topic}}\\ \pink{\circ\:\text{T.S.A\:of\:cylinder}=2\pi r(h+r)}\\\\ \pink{\circ\:\text{C.S.A\:of\:cylinder}=2\pi rh}$