To find the volume of the cone-shaped chocolate decoration, we can use the formula for the volume of a cone: V = (1/3)πr²h, where V represents the volume, r represents the radius, h represents the height, and π is a mathematical constant approximately equal to 3.14159.
Given:
- Diameter of the cone: 2 cm
- Radius (r) of the cone = diameter/2 = 2 cm / 2 = 1 cm
- Height (h) of the cone = 6 cm
Plugging the values into the formula, we get:
V = (1/3)π(1 cm)²(6 cm)
Calculate the volume:
V = (1/3)π(1 cm)²(6 cm)
V ≈ (1/3) × 3.14159 × 1 cm² × 6 cm
V ≈ 0.5236 cm³ × 6 cm
V ≈ 3.1416 cm³
Therefore, approximately 3.1416 cubic centimeters of chocolate would be needed to make a solid chocolate cone decoration.
A professional baker uses chocolate mold to make decorations for cakes one chocolate mold is in the shape of a cone and has a diameter of 2 cm and a height of 6 cm what volume of chocolate in cubic centimeters is needed to make a solid chocolate cones
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