Question

A cylenderical tank has a capacity of
8000cm cube if its depth is 20cm.
Find the diametre

Answer 1

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

A cylindrical tank has a capacity of 8000 cubic centimeter. If it's depth is 20cm, find the diameter.

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

$\bold{Given\:that,}$

Volume = $8000cm^3$

Depth = 20cm

$\bold{To\:find,}$

Diameter = ?

Before finding the diameter, we've to find the radius of the cylindrical tank.

We know that,

Volume of a cylinder = $πr^2h$

Volume of the cylindrical tank = $3.14 \times r^2 \times h$

$8000 cm^3 = 3.14 \times r^2 \times 20$

$8000cm^3 = 62.8 \times r^2$

$\frac{8000cm^3}{62.8cm^2} = r^2$

$127.39cm\:(approx) = r^2$

$\sqrt{127.39} = r$

$11.29\:(approx) = r$

$\large{\bold{Radius\:=\:11.29cm}}$

But the diameter = 2r (or) r + r

Therefore, diameter = 2(11.29cm)

Diameter = 22.58cm (approximately)

$\Huge{\boxed{\orange{Diameter=22.58}}}$