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A cone has a base radius of 2 m and a height of 6 m. What is its surface area?

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Question: A cone has a base radius of 2 m and a height of 6 m. What is its surface area?

Options:

  1. 16π
  2. 20π
  3. 24π
  4. 28π

Correct Answer: 20π

Solution:

The surface area of a cone is given by SA = πr(r + l), where l is the slant height. Here, l = √(r² + h²) = √(2² + 6²) = √40. Thus, SA = π(2)(2 + √40) = 20π.

A cone has a base radius of 2 m and a height of 6 m. What is its surface area?

Practice Questions

Q1
A cone has a base radius of 2 m and a height of 6 m. What is its surface area?
  1. 16π
  2. 20π
  3. 24π
  4. 28π

Questions & Step-by-Step Solutions

A cone has a base radius of 2 m and a height of 6 m. What is its surface area?
  • Surface Area of a Cone – The formula for the surface area of a cone involves the base radius, height, and slant height.
  • Slant Height Calculation – Understanding how to calculate the slant height using the Pythagorean theorem is crucial.
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