Question

A closed cylindrical tank of radius 7m and height 3m is made from a metal sheet. How much

sheet of metal is required​

Answer 1

Given:

• Radius of the closed cylindrical tank is 7m
• Height of the closed cylindrical tank is 3m.

To find:

• How much sheet of metal is required ?

Solution:

• Let's consider the metal sheet required is TSA.

Where,

• Radius = r = 7m
• Height = h = 3m

• Let Height & radius be h & r.

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« Now, By using TSA formula,

→ Total Surface Area of Cylinder = 2πr(h + r)

→ 2 × 22/7 × 7 × (3 + 7)

→ 2 × 22/7 × 7 × 10

→ 2 × 22 × 10

→ 44 × 10

→ 440cm²

∴ Hence, Sheet of metal required is 440cm².

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★ Formulas related to it :

• Area of base of cylinder = πr²

• Curved surface area of cylinder = 2πrh

• Total surface area of cylinder = 2πr(r + h)

• Volume of cylinder = πr²h

Answer 2

Answer -

440 m²

Given :

• A closed cylindrical tank of radius 7m.
• Height = 3m .

To find :

• How much sheet of metal is required .

Solution :

Total surface area of the cylinder

$\bf{\;\;\blue{ = 2\pi \times r(h + r)}}$

$\bf{\;\;\red{ = 2 \times \frac{22}{7} \times 7 \times 3(7 + 3) = 44 \times 10= 440m {}^{2} }}$

Hence , Sheet of metal required is 440m²