Volume of Cones Quick Check

Question

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Question
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 point)
Responses

12.56 cubic centimeters
12.56 cubic centimeters

6.28 cubic centimeters
6.28 cubic centimeters

37.68 cubic centimeters
37.68 cubic centimeters

18.84 cubic centimeters

Answer 1

To find the volume of a cone, you can use the formula:

$$V=\frac{1}{3}\pi r^{2}h$$

where $V$ is the volume, $r$ is the radius of the base, $h$ is the height, and $\pi$ is approximately 3.14.

Given:

• Diameter = 2 cm, so the radius $r=\frac{2}{2}=1$ cm
• Height $h=6$ cm

Now, plug in the values:

$$V=\frac{1}{3}\times 3.14\times (1{)}^2\times 6$$ $$V=\frac{1}{3}\times 3.14\times 1\times 6$$ $$V=\frac{1}{3}\times 18.84$$ $$V=6.28$$

So the volume of chocolate needed to make a solid chocolate cone is 6.28 cubic centimeters.

The correct response is: 6.28 cubic centimeters.