The radius of the ball is 10 cm at what distance from the center of the ball you need
| September 19, 2021 | education
The radius of the ball is 10 cm at what distance from the center of the ball you need to draw a plane so that the cross-sectional area of the ball by this plane is 36P cm ^ 2.
Let us define its radius through the sectional area.
Ssection = π * R ^ 2 = π * CO1 ^ 2 = 36 * π cm2.
CO1 = 6 cm.
From the center of the sphere, point O, we construct the radius of the OS.
In a right-angled triangle COO1, according to the Pythagorean theorem, OO1 ^ 2 = CO ^ 2 – CO1 ^ 2 = 100 – 36 = 64.
OO1 = 8 cm.
Answer: From the center of the sphere to a section of 8 cm.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
