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belka [17]
3 years ago
11

The distance from the top of the cone to the edge is 15 feet. The height of the cone is 6 feet. What is the radius of the cone?

Round to the nearest
tenth
Mathematics
1 answer:
soldi70 [24.7K]3 years ago
8 0

Answer:

The radius of the cone is approximately 13.4 feet

Step-by-step explanation:

The dimensions of the given cone are;

The distance from the top of the cone to the edge of the cone = 15 feet

The height of the cone = 6 feet

The radius of the cone is given by the base of the right triangle formed by the slant length, the base radius and the height which is found using Pythagoras theorem as follows;

The radius of the cone, r = √((Slant distance)² + (Height)²)

∴ r = √((12 ft.)² + (6 ft.)²) ≈ 13.4 ft. (by rounding to the nearest 10th)

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