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## Surface Area

A spherical balloon is inflated until its volume becomes 27 times its original volume. How much does its surface area increase?

# Surface Area - Problem Solving

The volume of a cube with positive side length is numerically equal to the surface area of a cube (though they will have different units). What is the volume of the cube?

The surface area of a sphere of radius 1 is equal to the surface area of a cylinder with a circular base of radius 1. What is the height of the cylinder?

The volume of a sphere is numerically equal to the surface area of the sphere. If this value is equal to $$N \pi$$, what is the value of $$N$$?

Brilli the ant is playing with a ball of radius $$R$$, which is a positive integer. Given that the surface area and volume of the ball are $$N\pi$$ and $$M\pi$$, where $$N$$ and $$M$$ are 4-digit integers, what is $$R$$?

Details and assumptions

The number $$12=012$$ is a 2-digit number, not a 3-digit number.

If the surface area of a sphere is numerically equal to the volume of the sphere, what is the radius?

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