Question

the circumference of the base cylinderical tank is 44m and its height is 6m .fiind the capacity in litres

Answer 1

$\Huge{\boxed{\pink{\mathbb{QUESTION}}}}$

The circumference of the base of a cylindrical tank is 44 m and it's height is 6 m. Find the capacity in litres.

$\Huge{\boxed{\purple{\mathcal{ANSWER}}}}$

$\bold{Given\:that,}$

Circumference = 44 m

Height = 6 m

$\bold{To\:find,}$

Capacity (or) volume of the cylindrical tank in litres = ?

$\bold{We\:know\:that,}$

Volume of a cylinder = $πr^2h$

But, the circumference of the base of the cylinder is a circle.

Therefore, the circumference of the base of the cylinder = 2πr

But, 2πr = 44 m

For r => $2 \times \frac{22}{7} \times r$ = 44 m

r = $\frac{44}{7} \times r = 44\:m$

r => $\frac{44}{7} \times 44 = r$

r = 7 m

Volume of the cylindrical tank = $πr^2h$

Volume = $\frac{22}{7} \times 7 \times 7 \times 6$

Volume of the cylindrical tank = $924 m^3$

But, $1m^3 = 1000\:litres$

Therefore, $924 m^3 = 924 \times 1000\:litres$

$924 m^3 = 924,000\:litres.$

$\Huge{\boxed{\red{\mathscr{THANKS}}}}$

Answer 2

Answer:

Step-by-step explanation:

Circumference = 44 m

Height = 6 m

Capacity (or) volume of the cylindrical tank in litres = ?

Volume of a cylinder = $\pi R^{2}h$

But, the circumference of the base of the cylinder is a circle.

Therefore, the circumference of the base of the cylinder = 2πR

2πR = 44 m  

=> 2 (22/7) R = 44 m

=> R = 7 m

Volume of the cylindrical tank = $\pi R^{2}h$

Volume of the cylindrical tank = (22/7)(7*7) * 6 = 924 m³

1m³ = 1000 L

Capacity (or) volume of the cylindrical tank in litres = 924 * 1000

= 924000 Litre