FTCE Professional Education Practice Exam

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What is represented by the expression 4(3.14)(r²)?

Volume of a cylinder
Total surface area of a sphere
Area of a circle
Length of a rectangle

The correct answer is: Total surface area of a sphere

The expression 4(3.14)(r²) represents the total surface area of a sphere. In geometry, the formula for the surface area of a sphere is given by $4\pi r^2$, where $\pi$ is approximately 3.14. In this case, the expression uses 4 times 3.14 as a representation of $\pi$, multiplied by the radius squared ($r^2$). Thus, it directly aligns with the formula used to calculate the total surface area of a sphere. To clarify the other options, the volume of a cylinder would involve dimensions for both radius and height and would not simply use the surface area formula. The area of a circle is calculated using $\pi r^2$, reflecting only the base area without the factor of 4. Length of a rectangle is not represented within this expression, which makes it distinct from dimensions related to circular shapes.