Question

5. Find the total surface area of the cylinder whose base diameter is 7 cm and height is 10cm​

Answer 1

Answer:

TSA of cylinder is 297 cm²

Step-by-step explanation:

Given :-

Diameter of base = 7 cm

Height = 10 cm

To Find :-

TSA

Solution :-

We know that

TSA = 2πr(r + h)

Radius = Diameter/2

Radius = 7/2

Radius = 3.5 cm

TSA = 2 × 22/7 × 3.5(3.5 + 10)

TSA = 44 × 0.5(13.5)

TSA = 22(13.5)

TSA = 297 cm²

Answer 2

Given :

• Diameter of Cylinder is 7 cm .
• Height of Cylinder is 10 cm .

To Find :

• Total Surface Area of Cylinder .

Solution :

$\longmapsto\tt{Radius(r)=\dfrac{7}{2}}$

$\longmapsto\tt{Height(h)=10\:cm}$

Using Formula :

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

Putting Values :

$\longmapsto\tt{{\not{2}}\times\dfrac{22}{{\not{7}}}\times\dfrac{{\not{7}}}{{\not{2}}}\:\bigg(\dfrac{7}{2}+10\bigg)}$

$\longmapsto\tt{22\bigg(\dfrac{7+20}{2}\bigg)}$

$\longmapsto\tt{{\cancel{22}}\times\dfrac{27}{{\cancel{2}}}}$

$\longmapsto\tt{11\times{27}}$

$\longmapsto\tt\bf{297\:{cm}^{2}}$

So , The Total Surface Area of the Cylinder is 297 cm² .

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• C.S.A of Cylinder = 2πrh
• T.S.A of Cylinder = 2πr (r+h)
• Volume of Cylinder = πr²h

Here :

• r = radius
• h = height
• π = 3.14 or 22/7

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