# Find Volume Of Cone Worksheet

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Finding the volume of the cone involves calculating the amount of space inside the cube. A cone is a three-dimensional geometric shape and its volume is determined by a specific formula, which relates the cone's base radius and height.

Volume of a cone formula is:

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

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

Algebra 1
Geometry And Measurement

## How Will This Worksheet on “Find Volume of Cone” Benefit Your Student's Learning?

• It enhances algebraic skills as students need to apply mathematical formulas, strengthening calculation abilities.
• It enhances problem-solving skills as students learn to break down complex problems into manageable steps.
• It is useful in real life for determining volume of ice cream or traffic cones or planning concrete needs for conical structures.
• It helps us to handle advanced mathematical concepts, such as calculating the volume of complex shapes.

## How to Find Volume of Cone?

• Identify the radius and height of the cone.
• Substitute the value of r and h in V = \frac{1}{3} \pi r^2 h.
• Simplify the expression to find the volume of a cone.
• Ensure the final answer is in cubic units.

## Solved Example

Q. Find the volume of a right circular cone that has a height of $5.1 \mathrm{~cm}$ and a base with a radius of $17.5 \mathrm{~cm}$. Round your answer to the nearest tenth of a cubic centimeter.
Solution:
1. Formula Explanation: The formula to calculate the volume of a right circular cone is $V = (\frac{1}{3})\pi r^2 h$, where $r$ is the radius of the base and $h$ is the height of the cone.
2. Plug in Values: First, we need to plug in the values for $r$ and $h$ into the formula.$\newline$ The radius $r$ is $17.5$ cm and the height $h$ is $5.1$ cm.$\newline$ $V = \frac{1}{3}\pi(17.5)^2(5.1)$
3. Calculate Radius Square: Now, we calculate the square of the radius, which is $(17.5)^2$.$\newline$$(17.5)^2 = 306.25$
4. Calculate Volume: Next, we multiply the squared radius by the height and then by $\frac{1}{3}$.$\newline$$\newline$$(306.25)(5.1) = 1561.875$$\newline$$(\frac{1}{3})$$\times1561.875$ is approximately $520.625$.
5. Multiply by Pi: Now, we multiply this result by $\pi$ to get the volume.$\newline$$520.625 \times \pi \approx 1635.5916 \, \text{cm}^3$
6. Round to Nearest Tenth: Finally, we round the answer to the nearest tenth of a cubic centimeter.$\newline$The volume of the cone, rounded to the nearest tenth, is approximately $1635.6\,\text{cm}^3$.

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