Question

$\large{\underline{ \underline {\mathbb{ \dag \: Question}}}}$



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

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 :

• Radius of cylinder A=20
• Radius of Cylinder A=20cm
• Height of Cylinder A=18cm
• Height of Cylinder A=18cm
• Radius of Cylinder B=10cm
• Radius of Cylinder B=10cm

Using Formula :

Volume of Cylinder=\pi{{r}^{2}h}}⟼VolumeofCylinder=πr2h

Putting Values :

Volume of Cylinder A = Volume of Cylinder B

\longmapsto\tt{\pi\times{{r}^{2}}\times{h}=\pi\times{{r}^{2}}\times{h}}⟼π×r2×h=π×r2×h

\longmapsto\tt{{\not{\pi}}\times{20}\times{20}\times{18}={\not{\pi}}\times{10}\times{10}\times{h}}⟼π×20×20×18=π×10×10×h

\longmapsto\tt{\dfrac{2{\not{0}}\times{2{\not{0}}}\times{18}}{1{\not{0}}\times{1{\not{0}}}}=h}⟼10×1020×20×18=h

\longmapsto\tt{4\times{18}=h}⟼4×18=h

\longmapsto\tt\bf{72\:cm=h}⟼72cm=h

So , The Height of second Cylinder is 72 cm .

Answer 2

Answer:

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.