Volume of Cones Quick Check

3 of 53 of 5 Items

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

1 answer

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.

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