Question

Find the total surface area and lateral surface area of the cylinder, if:
Radius = 14 m, Height = 1 m​

Answer 1

Answer:

HERE IS YOUR ANSWER MATE

Answer 2

Given

• Radius of cylinder = 14 m
• Height of cylinder = 1 m

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To Find

• The Total Surface Area of the cylinder.
• The Lateral Surface Area of the cylinder.

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Solution

Given in the question is that the radius and the height of a cylinder are 14 m and 1 m respectively.

(i) CYLINDER

Radius (r) = 14 m

Height (h) = 1 m

Total Surface Area (TSA) = ?

According to the formula,

$\boxed{\begin{minipage}{5cm} TSA of a Cylinder = 2\pi r(h+r) \end{minipage}}$

Apply the above formula to find the TSA of the given cylinder.

⇒ TSA of Cylinder = 2πr (h + r)

⇒ TSA of Cylinder = $2 \times \dfrac{22}{7} \times 14 \ (1 + 14)$

⇒ TSA of Cylinder = 2 × 22 × 2 × 15

⇒ TSA of Cylinder = 1320 m²

∴ The Total Surface Area of the given cylinder is 1320 m².

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(ii) CYLINDER

Radius (r) = 14 m

Height (h) = 1 m

Lateral Surface Area (LSA) = ?

According to the formula,

$\boxed{\begin{minipage}{4cm} LSA of a Cylinder = 2\pi rh \end{minipage}}$

Apply the above formula to find the LSA of the given cylinder.

⇒ LSA of Cylinder = 2πrh

⇒ LSA of Cylinder = $2 \times \dfrac{22}{7} \times 14 \times 1$

⇒ LSA of Cylinder = 2 × 22 × 2

⇒ LSA of Cylinder = 88 m²

∴ The Lateral Surface Area of the given cylinder is 88 m².

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