# How to Find the Volume of Cones: A Step-by-Step Guide for Lesson 2 Homework

## How to Find the Volume of Cones: A Step-by-Step Guide for Lesson 2 Homework

Do you need help with finding the volume of cones for your lesson 2 homework? If so, you are not alone. Many students struggle with this topic, especially when they have to deal with different units and round their answers. In this article, we will show you how to find the volume of cones using a simple formula and some examples. We will also give you some tips on how to check your answers and avoid common mistakes.

## Lesson 2 Homework Practice Volume Of Cones Answers

The volume of a cone is the amount of space that it occupies. To find the volume of a cone, you need to know two things: the radius of the base and the height of the cone. The radius is the distance from the center of the base to any point on the edge. The height is the distance from the vertex (the pointy end) of the cone to the center of the base.

The formula for finding the volume of a cone is:

where V is the volume, r is the radius, h is the height, and Ï is a constant that is approximately equal to 3.14.

To use this formula, you need to follow these steps:

Plug in the values of r and h into the formula.

Multiply r by itself to get r.

Multiply r by Ï.

Multiply the result by 1/3.

If necessary, round your answer to the nearest tenth or hundredth according to the instructions.

Let's look at some examples to see how this works.

## Example 1

Find the volume of a cone with a radius of 4 cm and a height of 10 cm. Use 3.14 for Ï and round your answer to the nearest tenth.

Solution:

We plug in r = 4 and h = 10 into the formula:

We multiply 4 by itself to get 16:

We multiply 16 by 3.14 to get 50.24:

We multiply 50.24 by 10 to get 502.4:

We multiply 502.4 by 1/3 to get 167.

## Example 2

Find the volume of a cone with a diameter of 12 inches and a height of 15 inches. Use 3.14 for Ï and round your answer to the nearest hundredth.

Solution:

We first find the radius by dividing the diameter by 2. So, r = 12 / 2 = 6.

We plug in r = 6 and h = 15 into the formula:

We multiply 6 by itself to get 36:

We multiply 36 by 3.14 to get 113.04:

We multiply 113.04 by 15 to get 1695.6:

We multiply 1695.6 by 1/3 to get 565.2.

We round the answer to the nearest hundredth: V = 565.20 in..

## Common mistakes and tips

Make sure you use the same units for the radius and height of the cone. If they are given in different units, convert them to the same unit before plugging them into the formula.

Make sure you use the correct value of Ï. Some problems may ask you to use an approximate value, such as 3.14 or 22/7, while others may ask you to use the exact value and leave your answer in terms of Ï.

Make sure you round your answer correctly according to the instructions. Some problems may ask you to round your answer to a certain number of decimal places or significant figures.

Make sure you label your answer with the correct unit of volume. The unit of volume is always cubic, such as cubic inches (in.) or cubic centimeters (cm).

Check your answer by plugging it back into the formula and see if you get the original values of radius and height.

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