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A cone has a surface area of 24​𝜋 square feet. Its base has a circumference of 6​𝜋 feet. What is the slant height of the cone?

Question

A cone has a surface area of 24​𝜋 square feet. Its base has a circumference of 6​𝜋 feet. What is the slant height of the cone?
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Solution 1

Sure, let's solve this step by step.

Step 1: Find the radius of the base of the cone. The formula for the circumference of a circle is C = 2πr. Given that the circumference is 6π feet, we can set up the equation 2πr = 6π and solve for r.

r = 6π / 2π = 3 feet

Step 2: Find the area of the base of Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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