Question

find the radius of a right circular cylinder whose volume is 3080 CU. Cm and height is 20 CM

Answer 1

heya...

given=>

volume of cylinder= 3080cubic cm
height = 20 cm

to find=>
radius of cylinder

solution=>

volume of cylinder = πr^2h

3080 = 22/7×r^2×20

3080×7/22×20 = r^2

49=r^2

√49cm = r
r => 7 cm

thus , radius of the cylinder is 7cm....

hope this helps!!!!

Answer 2

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

$\green{\therefore{\text{Radius\:of\:cylinder=7\:cm}}}$

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

$\green{ \underline \bold{Given : }} \\ : \implies \text{Height(h) = 20\: cm} \\ \\ : \implies \text{Volume\:of\:cylinder=3080\: cm}^{3}\\ \\ \red{ \underline \bold{To \: Find : }}\\ : \implies \text{Radius\: of \: cylinder(r) = ? }$

• According to given question :

$\bold{As \: we \: know \: that} \\ :\implies \text{Volume\: of \: cylinder} =\pi r^{2}h \\ \\ : \implies 3080= \frac{22}{7} \times r^{2}\times 20 \\ \\:\implies3080\times7= 440\times r^{2}\\ \\ :\implies r^{2}=\frac{\cancel{21560}}{\cancel{440}}=49\\\\ \green{:\implies\text{Height\: of \: cylinder=7\: cm}}\\\\ \purple{\text{Some\:formula\:related\:to\:this\:topic}}\\ \pink{\circ\:\text{T.S.A\:of\:cylinder}=2\pi r(h+r)}\\\\ \pink{\circ\:\text{C.S.A\:of\:cylinder}=2\pi rh}$