A professional baker uses a 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 cone? Use 3.14 for π.
1. 12.56 cubic centimeters
2. 37.68 cubic centimeters
3. 6.28 cubic centimeters
4. 18.84 cubic centimeters
answers
1570
235.5
6.28
25.12
392.5
The volume of a cone can be calculated using the formula V = (1/3)πr²h, where r is the radius and h is the height.
Since the diameter is given as 2 cm, the radius is half of that, which is 1 cm.
Plugging in the values, we have V = (1/3) * 3.14 * 1² * 6.
Calculating that gives us V = (1/3) * 3.14 * 1 * 6 = 6.28 cubic centimeters.
Therefore, the answer is option 3. 6.28 cubic centimeters.