Question

if the area of the circular base of a cylinder is 33cm2 and irs height is 10cm then the value of cylider is​

Answer 1

Answer:

Given:-

Area of circular base of cylinder = 22cm²

Height of cylinder = 10cm

To find:-

Volume of cylinder

Solution:-

Area of circular base of cylinder = 22cm²

:\implies:⟹ πr² = 22cm²

:\implies\sf \dfrac{22}{7} r^2 = 22:⟹722r2=22

:\implies\sf r^2 = 22 \times \dfrac{7}{22}:⟹r2=22×227

:\implies:⟹ r² = 7

:\implies\sf \sqrt{r^2} = \sqrt{7}:⟹r2=7

:\implies\sf r = \sqrt{7} cm:⟹r=7cm

\rule{200}3

:\implies\sf Volume_{(Cylinder)} = \pi r^2 h:⟹Volume(Cylinder)=πr2h

:\implies\sf Volume_{(Cylinder)} = \dfrac{22}{7} \times \sqrt{7} \times \sqrt{7} \times 10:⟹Volume(Cylinder)=722×7×7×10

:\implies\sf Volume_{(Cylinder)} = \dfrac{22}{ \cancel{7}} \times \cancel{7} \times 10:⟹Volume(Cylinder)=722×7×10

:\implies\sf Volume_{(Cylinder)} = \bf{220cm^3}:⟹Volume(Cylinder)=220cm3

★ Therefore, Volume of Cylinder is = 220cm³