Question

The capacity of closed cylinder water tank is 9240 litres. if the height of cyclinder is 1.5m. find the radius of the cyclinder​

Answer 1

✵Question:

The capacity of closed cylinder water tank is 9240 litres. if the height of cyclinder is 1.5m. find the radius of the cyclinder.....?

✵Answer:

⦾Given data is as follows:

☛Volume of cylinder = 9240 litres

☛Height of cylinder = 1.5 m

⦾We know that, 1 liters = 0.001 meters^3

Then, 9240 litres =

$\large{ \sf{9240 \times 0.001 = 9.24 \: m {}^{3} }}$

✵To Find:

☛Radius of the cylinder....?

We know,

$⇢ \large{ \boxed{ \purple{ \sf{volume \: of \: cylinder = \pi {r}^{2} h}}}} \\ \\ \large{ \sf{ \star{ \: \: by \: using \: formula}}} \\ \\ ⇢ \large{ \sf{9.24 {m}^{3 } = \frac{22}{7} \times {r}^{2} \times 1.5}} \\ \\ ⇢ \large{ \sf{ {r}^{2} = \frac{ \cancel{9.24 \: \:}6.16}{ \frac{22}{7} \times \cancel{1.5}} }} \\ \\ ⇢ \large{ \sf{ {r}^{2} = \frac{ \cancel{616} \: \: 28 \times 7}{ \cancel{22 }\times 100} }} \\ \\ ⇢ \large{ \sf{r = \sqrt{ \frac{2 \times 2 \times 7 \times 7}{10 \times 10} } }} \\ \\ ⇢ \large{ \sf{r = \frac{7 \times 2}{10} }} \\ \\ ⇢ \large{ \sf{ \boxed{ \green{r = 1.4 \: m}}}}$

⦾ Radius of cylinder= 1.4m

✵So final answer:

$\huge{ \boxed{ \bold{ \red{r = 1.4m}}}}$