Question

9. A closed cylindrical tank of radius 7m and height 3m is made from a sheet of metal. How
much sheet of metal is required?
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Answer 1

Answer:

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ˢᵀᴬʸ ˢᴬᶠᴱ➳♥

Answer 2

• Sheet of metal required = 440 cm²

Given :–

• Radius of a closed cylindrical tank = 7m.
• Height of a closed cylindrical tank = 3m.

To Find :–

• Sheet of metal required.

Solution :–

We know that,

Area of metal sheet = Total surface area of a cylinder. [Area of a closed cylindrical tank]

T.S.A.(Total Surface Area) of a cylinder = 2πr(r + h)

Area of closed cylinder = 2πr(r + h)

We have,

• Value of π = $\sf \dfrac{22}{7}$
• Radius (r) = 7m.
• Height (h) = 3m.

Now, substitute the values in the formula of the area of closed cylinder.

$\longrightarrow2 \times \dfrac{22}{ \cancel7 } \times \cancel7 \: cm(7 \: cm + 3 \: cm)$

$\longrightarrow2 \times 22 \times (10 ) \: {cm}^{2}$

$\longrightarrow44 \times 10 \: {cm}^{2}$

$\longrightarrow 440 \: {cm}^{2}$

Hence,

440 cm² sheet of metal required.