Write True or False and justify your answer.An edge of a cube measures

1.	Write True or False and justify your answer.An edge of a cube measures r cm. If the largest possible right circular cone is cut out of this cube, then the volume of the cone (in cm3 ) is 1/6πr3.
Answer» False. Height of the cone = r cm. Diameter of the base = r cm. Therefore, volume of the cone = 1/3 π(r/2)².r = 1/12 πr³

Write True or False and justify your answer.An edge of a cube measures r cm. If the largest possible right circular cone is cut out of this cube, then the volume of the cone (in cm3 ) is 1/6πr3.

Answer»

False.

Height of the cone = r cm.

Diameter of the base = r cm.

Therefore, volume of the cone = 1/3 π(r/2)².r

= 1/12 πr³