Hershey kisses are almost a cone shape with a height of 2.1 cm and a diameter of 3 cm. How much chocolate is in a kiss?

Respuesta :

Given:

Height of cone shaped Hershey kisses = 2.1 cm

Diameter of the cone = 3 cm

To find:

How much chocolate is in a kiss?

Solution:

In the given problem, we need to find volume of the given cone shaped Hershey kisses.

Radius is half of the diameter and diameter of the cone is 3 cm. So, the radius of the cone is 1.5 cm.

The volume of a cone is:

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Where, r is the radius and h is the height of the cone.

Putting [tex]\pi =\dfrac{22}{7}, r=1.5, h=2.1[/tex] in the above formula, we get

[tex]V=\dfrac{1}{3}\pi (1.5)^2(2.1)[/tex]

[tex]V=\dfrac{1}{3}\times \dfrac{22}{7}\times (1.5)^2\times (2.1)[/tex]

[tex]V=\dfrac{22}{21}\times 2.25\times (2.1)[/tex]

[tex]V=22\times 2.25\times 0.1[/tex]

[tex]V=4.95[/tex]

Therefore, there is 4.95 cubic cm chocolate is in a kiss.

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