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Calculating the Area and Volume of a Right Circular Cone

volume of a right circular cone: cone

Let’s get right to it — we’re here to calculate the surface area or volume of a right circular cone. As you might already know, in a right circular cone, the height goes from the cone’s vertex through the center of the circular base to form a right angle. Right circular cones are what we typically think of when we think of cones.

There are two right circular cone formulas to know: The formula for the volume of a cone is (𝛑r²h)/3. The formula for the surface area of a right circular cone is 𝛑rs+𝛑r². Let's look at them both in further detail.

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What Is the Distributive Property of Multiplication?

distributive property of multiplication: girl taking notes while looking at her laptop

The distributive property of multiplication is a property of real numbers that shows how we can break apart multiplication problems into separate terms. The property states that an algebraic expression a(b + c) becomes ab + ac. In other words, the multiplication of a distributes to both variables inside the parentheses, b and c.

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Why Are Repeating Decimals Rational Numbers?

are repeating decimals rational: DECIMAL spelled using wooden blocks

Are repeating decimals rational? The answer is yes. But before we talk about why, let's review rational numbers. A rational number is a fraction in its lowest term. It's written in form a/b, where both a and b are integers, and b is a non-zero denominator.

Now, let’s talk about why repeating decimals are considered rational numbers.

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What You Need to Know About Proportional Relationships

Graph of a proportional relationship

A proportional relationship, sometimes known as the constant of proportionality, relates two quantities according to a common ratio. In other words, the same proportion!

If you are in seventh grade and looking to review common core state standards (CCSS), you will need to be familiar with this term. Not only will you see it in school, but you'll find it has many real-world applications. Let's dive in!

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What Do Consecutive Integers Represent In Math Problems?

consecutive integers: Colorful number blocks

What do consecutive integers mean, and how do you approach consecutive integer problems? Well, consecutive simply means "in a row." So, the term consecutive integers just means "numbers in a row."

1, 2, 3, 4, 5 are a series of five consecutive integers.

1, 3, 5, 7 are a series of consecutive odd integers.

-12, -11, -10, -9, -8 are a consecutive series of negative integers.

And so on!

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