Respuesta :

• The volume of a cone can be found by using this formula:

[tex]V=\frac{\pi\cdot r^2\cdot h}{3}[/tex]

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

• Problem:

Find the volume of a cone that has a radius of 4 centimeters and a height of 10 centimeters. Round the result to the nearest tenth.

In this case:

[tex]\begin{gathered} r=4\operatorname{cm} \\ h=10\operatorname{cm} \end{gathered}[/tex]

Substituting values into the formula and evaluating, you get:

[tex]\begin{gathered} V=\frac{\pi(4cm)^2(10\operatorname{cm})}{3} \\ \\ V=\frac{160\pi cm^3}{3} \\ \\ V\approx167.6\operatorname{cm}^3 \end{gathered}[/tex]

Therefore, the answer is:

• You can find the volume by using this formula:

[tex]V=\frac{\pi\cdot r^2\cdot h}{3}[/tex]

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

• Problem: Find the volume of a cone that has a radius of 4 centimeters and a height of 10 centimeters. Round the result to the nearest tenth.

• Solution:

[tex]V\approx167.6\operatorname{cm}^3[/tex]

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