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Answers
Answer:
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)2×
7
22
×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 12×
7
22
×14×1
⇒ LSA of Cylinder = 2 × 22 × 2
⇒ LSA of Cylinder = 88 m²
∴ The Lateral Surface Area of the given cylinder is 88 m².