The large circle of the ball, the length of the radius of which is equal to 8 cm, is the base of the cone.

| April 8, 2021 | education

The large circle of the ball, the length of the radius of which is equal to 8 cm, is the base of the cone. The top of the cone is one of the ends of the diameter of the ball, perpendicular to the plane of the section. Calculate the volume of the ball.

Since the base of the cone is the larger circle of the ball, the radius of the circle at the base of the cone is equal to the radius of the ball. AO = 8 cm.

By condition, the apex of the cone is one of the ends of the diameter of the ball, then the height of the cone is equal to the radius of the ball. OB = 8 cm.

Determine the area of the base of the cone. Sosn = n * OA ^ 2 = n * 64 cm2.

Determine the volume of the cone. Vfin = Sbn * ОВ / 3 = n * 64 * 8/3 = n * 512/3 = n * 170 (2/3) cm3.

Answer: The volume of the cone is n * 170 (2/3) cm3.



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