Solution for all our non-math-geek “Barney & Clyde” friends:
Since the end (base) of a cylinder [=the cake] is a circle, the area of that circle [=top of the cake] is given by “pi” multiplied by the radius squared [= “pi” x “r” x “r”].
Multiplying by the height of the cake we get the volume of the cylinder, er, cake: “height” multiplied by “pi” multiplied by “radius squared” [= “h” x “pi” x “r” x “r”]
So, if both the radius and the height are one unit, then the above multiplication yields both the area and the volume equal to pi:
Area of the top of the cake = “pi” x “r” x “r” = “pi” x 1 × 1 = “pi”
Volume of the cake = “h” x “pi” x “r” x “r” = 1 x “pi” x 1 × 1 = “pi”
yousir over 10 years ago
Googol it.
black_knight15_au over 10 years ago
Hint both the volume and surface area of the top are ….
QuietStorm27 over 10 years ago
Me too.
Riff Gibson Premium Member over 10 years ago
SPOILER ALERT!!!
Solution for all our non-math-geek “Barney & Clyde” friends:
Since the end (base) of a cylinder [=the cake] is a circle, the area of that circle [=top of the cake] is given by “pi” multiplied by the radius squared [= “pi” x “r” x “r”].
Multiplying by the height of the cake we get the volume of the cylinder, er, cake: “height” multiplied by “pi” multiplied by “radius squared” [= “h” x “pi” x “r” x “r”]
So, if both the radius and the height are one unit, then the above multiplication yields both the area and the volume equal to pi:
Area of the top of the cake = “pi” x “r” x “r” = “pi” x 1 × 1 = “pi”
Volume of the cake = “h” x “pi” x “r” x “r” = 1 x “pi” x 1 × 1 = “pi”
Therefore, in this case, the cake is also pi!