Question

find the height of a cylinder whose radius is 7 cm and volume is 2310 cm³​

Answer 1

Answer:

15cm

Steps :

Volume = πrsquareh

22/7 * 7 *7 *h = 2310

154 * h = 2310

h = 2310/154

h=15cm

Answer 2

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

$\green{\therefore{\text{Height\:of\:cylinder=15\:cm}}}$

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

$\green{ \underline \bold{Given : }} \\ : \implies \text{Radius(r) = 7\: cm} \\ \\ : \implies \text{Volume\:of\:cylinder=2310 \: cm}^{3}\\ \\ \red{ \underline \bold{To \: Find : }}\\ : \implies \text{Height\: of \: cylinder(h) = ? }$

• According to given question :

$\bold{As \: we \: know \: that} \\ :\implies \text{Volume\: of \: cylinder} =\pi r^{2}h \\ \\ : \implies 2310= \frac{22}{7} \times 7^{2}\times h \\ \\:\implies2310=154\times h\\ \\ :\implies h=\frac{\cancel{2310}}{\cancel{154}}\\\\ \green{:\implies\text{Height\: of \: cylinder=15\: cm}}\\\\ \purple{\text{Some\:formula\:related\:to\:this\:topic}}\\ \pink{\circ\:\text{T.S.A\:of\:cylinder}=2\pi r(h+r)}\\\\ \pink{\circ\:\text{C.S.A\:of\:cylinder}=2\pi rh}$