Answer:
To find out how much yogurt is needed to fill the cone, we need to use the formula for the volume of a cone:
V = (1/3) * π * r^2 * h
Where:
- `V` is the volume of the cone
- `π` is a mathematical constant equal to about 3.14159
- `r` is the radius of the cone
- `h` is the height of the cone
Plugging in the known values, we get:
V = (1/3) * π * 3^2 * 5
V = (1/3) * π * 9 * 5
V = 15π
Therefore, the volume of the cone is 15π cubic centimeters. So you would need 15π cubic centimeters of yogurt to fill the cone. Alternatively, you could use an approximation of π = 3.14 or 22/7 to estimate the amount of yogurt needed, which would give you approximately 47.1 cubic centimeters of yogurt.