Question

find TSA TSA volume of a cylinder whose base diameter is 14 cm and 10 cm height​

Answer 1

Correct Question :

Find C.S.A , T.S.A and volume of a cylinder whose base diameter is 14 cm and 10 cm height.

Given :

• Diameter of Cylinder = 14cm.
• Height of Cylinder = 10cm.

To Find :

• Curved Surface Area of Cylinder.
• Total Surface Area of Cylinder.
• Volume of Cylinder.

Solution :

$\longmapsto\tt{Height=10cm}$

$\longmapsto\tt{Diameter=14cm}$

Using Formula :

$\longmapsto\tt\boxed{C.S.A\:of\:Cylinder=2\pi{rh}}$

Putting Values :

$\longmapsto\tt{2\times\dfrac{22}{\cancel{7}}\times{\cancel{7}}\times{10}}$

$\longmapsto\tt{44\times{10}}$

$\longmapsto\tt\bold{440{cm}^{2}}$

So , The C.S.A of Cylinder is 440cm²..

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Using Formula :

$\longmapsto\tt\boxed{T.S.A\:of\:Cylinder=2\pi{r(r+h)}}$

Putting Values :

$\longmapsto\tt{2\times\dfrac{22}{\cancel{7}}\times{\cancel{7}}(7+10)}$

$\longmapsto\tt{44(17)}$

$\longmapsto\tt\bold{748{cm}^{2}}$

So , The T.S.A of Cylinder is 748cm²..

_______________________

Using Formula :

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

Putting Values :

$\longmapsto\tt{\dfrac{22}{\cancel{7}}\times{\cancel{7}}\times{7}\times{10}}$

$\longmapsto\tt{154\times{10}}$

$\longmapsto\tt\bold{1540{cm}^{3}}$

So , The Volume of Cylinder is 1540cm³..