Question

The height of a cylindrical 14cm and is diameter is 10cm the volume of cylinder is
1100 cubic cm
3300 cubic cm
3500 cubic cm
7700 cubic cm​

Answer 1

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The Diameter of the Cylinder is 36cm

$\sf{Radius=\dfrac{\cancel{36}}{\cancel{2}}}$

The Volume of Cylinder is 14256cubic cm.

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The Height of the Cylinder.

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${\boxed{\bf{\green{Volume\:of\: cylinder={\red{π r^{2}h}}}}}} </p><p>$

Now,

Volume of Cylinder = πr²h.

$\implies\rm\green{14256=\dfrac{22}{7}\times{(18)}^{2}(h)}</p><p>$

$\implies\rm\blue{14256=\dfrac{22}{7}\times{324h}}</p><p>$

$\implies\rm\red{h=\dfrac{\cancel{14256}\times{7}}{\cancel{324}\times{22}}}$

$\implies\rm\blue{h=\dfrac{\cancel{44}\:^{2}\times{7}}{\cancel{22}}}</p><p>$

$\implies\rm\blue{h=2\times{7}=14cm}</p><p>$

Thus, The height of the cylinder is 14cm.

$\bigstar\:\:\rm\pink{MORE\:TO\:KNOW}$

• Total Surface area of Cylinder=2πr(r+h)
• Lateral Surface area of Cylinder =2πrh.
• Volume of Cuboid= Length×Breadth× Height.