Task of the Week: Mushroom
Today’s Task of the Week focuses a geometric question at the Aasee in Münster. More specifically, the surface content of a hemisphere is calculated by the students.
Task: Mushroom (task number: 1400)
Determine the area of the mushroom. Give the result in dm². Round to one decimal.
In order to solve the problem, the students have to approach and recognize the shape as a hemisphere. They then need the formula for the calculation of the spherical surface or here the hemispherical surface. For the determination, only the radius of the hemispheres is required. Since it can not be measured directly, this can be determined with help of the circumference.
The task requires knowledge of the circle and of the sphere and can therefore be applied from class 9 onwards.