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How to find the volume of a cone?.please include one(1) problem per question with solutions

1 Answer

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


V=(\pi\cdot r^2\cdot h)/(3)

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:


\begin{gathered} r=4\operatorname{cm} \\ h=10\operatorname{cm} \end{gathered}

Substituting values into the formula and evaluating, you get:


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

Therefore, the answer is:

• You can find the volume by using this formula:


V=(\pi\cdot r^2\cdot h)/(3)

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:


V\approx167.6\operatorname{cm}^3

User Romancha KC
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