Tapering to a Point: Author's Purpose

Read about the volume of cones, then work out why the author wrote it.

Story Brief #416

A cone is a three-dimensional shape with a circular base that tapers smoothly to a point called the apex.

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Read carefully. Then prove you understood.

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Slow down. The first answer that pops up isn't always the right one.

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A cone is a three-dimensional shape with a circular base that tapers smoothly to a point called the apex. To find the volume of a cone, you can use the formula: Volume = (1/3) × π × r² × h. In this formula, 'r' represents the radius of the base, and 'h' is the height of the cone. For example, if you have a cone with a radius of 3 cm and a height of 5 cm, you would first calculate the area of the base: π × (3 cm)² = 28. 27 cm². Then, plug that value into the volume formula: Volume = (1/3) × 28.

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27 cm² × 5 cm, which equals approximately 47. 11 cm³. This means the cone can hold about 47. 11 cubic centimeters of space. Understanding how to calculate the volume of cones helps in real-life situations, like knowing how much ice cream can fit in a cone!

Question 1

1 of 2

Why did the author most likely write this passage?

How sure are you going to be?😐 maybe

Question 2

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Authors use examples to explain their ideas. Which sentence from the passage gives an example?

How sure are you going to be?😐 maybe

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You got 0 of 2 right.

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