The radius of the ball is 6 cm. Calculate the cross-sectional area of the ball with a plane passing through the center of the ball.

If we cut the ball with a certain plane through the center, then we get a circle in the section. Since the points in the ball are equidistant from the center, this circle will everywhere have the same cross-section (when passing through the center).

Consequently, the cross-sectional area will be equal to the area of the circle.

S = π x R²

π = 3.14 …

S = 3.14 x 6²

S = 113.04 cm²