Assuming you want to make a figure that is bigger, but similar (all measurements proportional): for any simular figures, surface area is proportional to the square of any linear measurement, so you would have to increase both the diameter and the height by a factor square root of 3
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This cone has a lateral surface area of approximately 226.73cm2
It is possible for some cones A and cylinders B. But in general, the assertion is false.
The lateral surface area is 18.85 square inches.
For a right circular cone, the lateral area is 565.49 units2
Lateral area is 188.5 m2