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The base radius and height of a right circular cylinder are 5 cm and 10 cm. Its total surface area is
  • a)
    150π cm2
  • b)
    300π cm2
  • c)
    150 cm2
  • d)
    300 cm2
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The base radius and height of a right circular cylinder are 5 cm and 1...
Total surface area = 2πr (h + r)
= 2π 5 (10 + 5) = 150π cm2.
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Community Answer
The base radius and height of a right circular cylinder are 5 cm and 1...
Total Surface Area of a Cylinder
To find the total surface area of a right circular cylinder, we use the formula:
Total Surface Area (TSA) = 2πr(h + r)
Where:
- r = radius of the base
- h = height of the cylinder
Given Values
- Radius (r) = 5 cm
- Height (h) = 10 cm
Calculating the Total Surface Area
1. Substituting the values:
- TSA = 2π(5 cm)(10 cm + 5 cm)
2. Calculating the height plus radius:
- h + r = 10 cm + 5 cm = 15 cm
3. Continuing with the formula:
- TSA = 2π(5 cm)(15 cm)
4. Perform the multiplication:
- TSA = 2π(75 cm²)
- TSA = 150π cm²
Conclusion
Thus, the total surface area of the cylinder is 150π cm².
The correct answer is option 'A' (150π cm²).
This formula effectively combines the lateral surface area and the area of the two circular bases, giving a complete picture of the cylinder's surface.
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