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A cone has a base radius of 5 cm and a height of 12 cm. What is the total surfac

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Question: A cone has a base radius of 5 cm and a height of 12 cm. What is the total surface area of the cone?

Options:

  1. 130 cm²
  2. 150 cm²
  3. 180 cm²
  4. 200 cm²

Correct Answer: 150 cm²

Solution: 

Total Surface Area = πr(r + l), where l = √(r² + h²) = √(5² + 12²) = √169 = 13. Total Surface Area = π * 5 * (5 + 13) = 90π cm².

A cone has a base radius of 5 cm and a height of 12 cm. What is the total surfac

Practice Questions

Q1
A cone has a base radius of 5 cm and a height of 12 cm. What is the total surface area of the cone?
  1. 130 cm²
  2. 150 cm²
  3. 180 cm²
  4. 200 cm²

Questions & Step-by-Step Solutions

A cone has a base radius of 5 cm and a height of 12 cm. What is the total surface area of the cone?
  • Surface Area of a Cone – The formula for the total surface area of a cone includes the base area and the lateral surface area, requiring knowledge of both geometry and the Pythagorean theorem.
  • Pythagorean Theorem – Understanding how to calculate the slant height (l) using the Pythagorean theorem is crucial for solving the problem correctly.
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