Direct Relationship Between Volume and Surface Area?

Geometry Level 3

Which of the following statements is/are true, concerning volume and surface area of the sphere?

  1. If the volume of the sphere increases, then the surface area of the new solid can also increase.

  2. If the volume of the sphere decreases, then the surface area of the new solid must decrease.

Note: The resulting solid may not be the sphere.

Statement 1 only. Statement 2 only. No statements are true. Both statements are true.

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