Step-by-step explanation:

To find the volume of a cone, we use the formula:

V = (1/3) * B * H

where V is the volume, B is the base area, and H is the height of the cone.

Cone 1: B = 4cm², H = 1.5cm

V = (1/3) * 4cm² * 1.5cm

V = 2cm³

Therefore, the volume of the cone is 2 cubic centimeters (cm³).

Cone 2: B = 30mm², H = 9mm

V = (1/3) * 30mm² * 9mm

V = 3 * 30mm³

V = 90mm³

Therefore, the volume of the cone is 90 cubic millimeters (mm³).

Cone 3: B = 17dm², H = 9dm

Since the base area is given in square decimeters and the height is given in decimeters, we need to convert them to the same unit before we can use the formula.

1 square decimeter (dm²) = 100 square centimeters (cm²)

1 decimeter (dm) = 10 centimeters (cm)

B = 17dm² = 17 * 100cm² = 1700cm²

H = 9dm = 9 * 10cm = 90cm

V = (1/3) * 1700cm² * 90cm

V = 51000cm³

Therefore, the volume of the cone is 51,000 cubic centimeters (cm³) or 51 liters (L).