Question

Two cylindrical container holds same
quantity of milk. Radius and height
of the first one is 20cm and 18 cm
respectively. Find the height of second
cylinder of its radius is 10cm.​

Answer 1

Answer:

v=r*h

v=20*18= 36

second cylinder

v=36(same as first cylinder)

36=10*h

36/10=h

3.6cm is height of second cylinder

Answer 2

Given :

• Radius and height of the first cylinder is 20cm and 18 cm respectively .
• Radius of second cylinder is 10 cm .

To Find :

• Height of Second Cylinder .

Solution :

$\longmapsto\tt{Radius\:of\:Cylinder\:A=20\:cm}$

$\longmapsto\tt{Height\:of\:Cylinder\:A=18\:cm}$

$\longmapsto\tt{Radius\:of\:Cylinder\:B=10\:cm}$

Using Formula :

$\longmapsto\tt\boxed{Volume\:of\:Cylinder=\pi{{r}^{2}h}}$

Putting Values :

Volume of Cylinder A = Volume of Cylinder B

$\longmapsto\tt{\pi\times{{r}^{2}}\times{h}=\pi\times{{r}^{2}}\times{h}}$

$\longmapsto\tt{{\not{\pi}}\times{20}\times{20}\times{18}={\not{\pi}}\times{10}\times{10}\times{h}}$

$\longmapsto\tt{\dfrac{2{\not{0}}\times{2{\not{0}}}\times{18}}{1{\not{0}}\times{1{\not{0}}}}=h}$

$\longmapsto\tt{4\times{18}=h}$

$\longmapsto\tt\bf{72\:cm=h}$

So , The Height of second Cylinder is 72 cm .