Question

A metal pipe is 77cm long, the inner diameter of the cross section is 4cm and the outer diameter is 4.8cm find it’s TSA

Answer 1

Answer:

Use Formula of TSA:-πr^2h

Step-by-step explanation:

1.First find tsa of inner.

2.Then find tsa of outer.

3.Add both the Tsa.

4.You will get the tsa

Answer 2

$\huge{\underline{\textsf{Given:-}}}$

• Height of pipe = 77cm
• Inner Diameter = 4cm
• Outer Diameter = 4cm

$\huge{\underline{\textsf{Find:-}}}$

• Total Surface Area of Cylinder.

$\huge{\underline{\textsf{Solution:-}}}$

Here, f1st we will find the Inner Curved surface area:-

→ Radius, r₁ = 4/2 = 2cm

By using

↦ Curved surface area = 2 πr₁h

where,

• π = 22/7
• r₁ = 2cm
• h = 77cm

☆ substituting these values:

↣Inner Curved Surface Area = 2 πr₁h

↣Inner Curved Surface Area = 2×22/7×2×77

↣Inner Curved Surface Area = 4×22×11

↣Inner Curved Surface Area = 968cm²

So, Inner Curved surface area is 968cm²

$\qquad$ ________________________

Now, finding outer curved surface area:-

→ Radius, r₂ = 4.8/2 = 2.4cm

Again, Using

↦ Curved surface area = 2 πr₂h

where,

• π = 22/7
• r₂ = 2.4cm
• h = 77cm

☆ substituting these values:

↪Outer Curved surface area = 2 πr₂h

↪Outer Curved surface area = 2×22/7×2.4×77

↪Outer Curved surface area = 44 × 24/10 × 11

↪Outer Curved surface area = 11616/10

↪Outer Curved surface area = 1161.6cm²

So, outer curved surface area is 1161.6cm²

$\qquad$ ________________________

Now, finding base area:

By using

↦ Area of base = π(r₂² - r₁²)

where,

• π = 22/7
• r₁ = 2cm
• r₂ = 2.4cm

☆ substituting these values:

↝ Area of base = π(r₂² - r₁²)

↝ Area of base = 22/7[(2.4)² - (2)²]

↝ Area of base = 22/7[5.76 - 4]

↝ Area of base = 22/7[1.76]

↝ Area of base = 38.72/7 = 5.531(approx.)cm²

↝ Area of base = 5.53cm²

$\qquad$ ________________________

Now, atlast finding Total Surface Area:

↬ Total Surface Area = Inner C.S.A + Outer C.S.A + 2(Area of base)

where,

• Inner C.S.A = 968cm²
• Outer C.S.A = 1161.6cm²
• Area of base = 5.53cm²

☆ substituting these values:

⇝ Total Surface Area = Inner C.S.A + Outer C.S.A + 2(Area of base)

⇝Total Surface Area = 968 + 1161.6 + 5.53

⇝Total Surface Area = 2135.13cm²

Therefore, Total Surface Area of cylinder is 2135.13cm²