To determine the volume of a cone, the formula is:
\[ V = \frac{1}{3} \pi r^2 h \]
Here:
- \( \pi = 3.14 \)
- \( r \) is the radius of the base
- \( h \) is the height of the cone
Given:
- Diameter \( d = 2 \) cm, so the radius \( r = \frac{d}{2} = 1 \) cm
- Height \( h = 6 \) cm
Substitute these values into the formula:
\[ V = \frac{1}{3} \times 3.14 \times (1)^2 \times 6 \]
\[ V = \frac{1}{3} \times 3.14 \times 1 \times 6 \]
\[ V = \frac{1}{3} \times 3.14 \times 6 \]
\[ V = \frac{1}{3} \times 18.84 \]
\[ V = 6.28 \text{ cubic centimeters} \]
So, the volume of chocolate needed to make a solid chocolate cone is:
\[ 6.28 \text{ cubic centimeters} \]
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 ππ .(1 point) Responses 6.28 cubic centimeters 6.28 cubic centimeters 37.68 cubic centimeters 37.68 cubic centimeters 12.56 cubic centimeters 12.56 cubic centimeters 18.84 cubic centimeters
1 answer