FTCE Professional Education Practice Exam

Disable ads (and more) with a membership for a one time $4.99 payment

Prepare for the FTCE Professional Education Test. Study with comprehensive flashcards and engaging multiple choice questions, each crafted with hints and detailed explanations. Enhance your confidence for success!

Practice this question and more.

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.