Question

the tsa of a cylinder whose base circumference is 154 cm and height 15bcm is

Answer 1

Answer

14,773cm

Step-by-step explanation:

circumference: 2$\pi$r=154cm

Height = 15cm

To find radius,

2$\pi$r= 154cm = 49/2 cm

Now,

tsa= 2$\pi$r(h+r)

= 2×22/7×49/2 (15+24.5)

=14,773cm² ANS

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Answer 2

Given :

• Base Circumference is 154cm.
• Height = 15cm.

To Find :

• Total Surface Area of Cylinder.

Solution :

$\longmapsto\tt{Base\:Circumference=154cm}$

Using Formula :

$\longmapsto\tt\boxed{Circumference\:of\:Circle=2\pi{r}}$

Putting Values :

$\longmapsto\tt{154=2\times\dfrac{22}{7}\times{r}}$

$\longmapsto\tt{154\times{7}=44r}$

$\longmapsto\tt{1078=44r}$

$\longmapsto\tt{r=\cancel\dfrac{1078}{44}}$

$\longmapsto\tt\bold{r=24.5cm\:(Approx.)}$

So , The Radius is 24.5cm..

Now ,

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

$\longmapsto\tt{Radius=24.5cm}$

Using Formula :

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

Putting Values :

$\longmapsto\tt{2\times\dfrac{22}{7}\times{24.5}\times{(24.5+15)}}$

$\longmapsto\tt{\cancel\dfrac{1078}{7}\times{(39.5)}}$

$\longmapsto\tt{154\times{39.5}}$

$\longmapsto\tt\bold{6083{cm}^{2}\:(Approx.)}$

So , The T.S.A of Cylinder is 6083cm²..