## Yes, both calculations are correct. However, it is important to note that the units for the volume of the sphere are in cubic centimeters (cmÂ³), as the radius is given in centimeters.

In the first calculation for the volume of the cone, you correctly used the formula: V = (1/3)Ï€rÂ²h, where r represents the radius and h represents the height. Plugging in the given values, you have:

V = (1/3)Ï€(6)Â²(10)

= (1/3)Ï€(36)(10)

= (1/3)(360)Ï€

= 120Ï€

Hence, the volume of the cone is 120Ï€ cubic units.

In the second calculation for the volume of the sphere, you correctly used the formula: V = (4/3)Ï€rÂ³, where r represents the radius. Substituting the given value:

V = (4/3)Ï€(3)Â³

= (4/3)Ï€(27)

= 36Ï€

Therefore, the volume of the sphere is 36Ï€ cubic centimeters (cmÂ³).