Call Now to Set Up Tutoring:

(888) 888-0446

High School Math : Pre-Algebra

Study concepts, example questions & explanations for High School Math

Create An Account

All High School Math Resources

8 Diagnostic Tests 613 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : How To Find The Volume Of A Sphere In Pre Algebra

What is the volume of a sphere with a radius of ?

Possible Answers:

$108\pi$

$27\pi$

$6\pi$

$12\pi$

$36\pi$

Correct answer:

$36\pi$

Explanation:

The formula for the volume of a sphere is $V=\frac{4}{3}\pi r^3$ .

Plug in our given values.

$V=\frac{4}{3}\pi (3)^3$

$V=\frac{4}{3}\pi*27$

$V=36\pi$

Report an Error

Example Question #8 : How To Find The Volume Of A Sphere In Pre Algebra

If the volume of a sphere is $300\pi$ , what is the radius?

Possible Answers:

6.08

1.94

$6.08\pi$

225

Correct answer:

6.08

Explanation:

The formula for volume of a sphere is $V=\frac{4}{3}\pi r^3$ .

Plug in our given information.

$300\pi=\frac{4}{3}\pi r^3$

Notice that the $\pi$ 's cancel out.

$300=\frac{4}{3}r^3$

Divide both sides by $\frac{4}{3}$ . Since we're dividing by a fraction, that means we need to multiply both sides by the reciprocal: $\frac{3}{4}$ .

$300*\frac{3}{4}=r^3$

225=r^3

$\sqrt[3]{225}=\sqrt[3]{r^3}$

$\sqrt[3]{225}=r$

6.08=r

Report an Error

Example Question #3 : How To Find The Volume Of A Sphere In Pre Algebra

What is the volume of a sphere with a radius of ?

Possible Answers:

$6453\pi$

$8000\pi$

$4800\pi$

$7776\pi$

Correct answer:

$7776\pi$

Explanation:

To solve for the volume of a sphere you must first know the equation for the volume of a sphere.

The equation is

Then plug the radius into the equation for yielding

$V=(\frac{4}{3})(18^{3})(\pi)$

Then cube the radius to get

$V=(\frac{4}{3})(5832)(\pi)$

Multiply the answer by and to yield $V=7776\pi$ .

The answer is $7776\pi$ .

Report an Error

Example Question #10 : How To Find The Volume Of A Sphere In Pre Algebra

What is the volume of a sphere with a radius of ?

Possible Answers:

$V=45\pi$

$V=27\pi$

$V=9\pi$

$V=36\pi$

Correct answer:

$V=36\pi$

Explanation:

To solve for the volume of a sphere you must first know the equation for the volume of a sphere.

The equation is

Then plug the radius into the equation for yielding

$V=\frac{4}{3}(3^{3})(\pi)$

Then cube the radius to get

$V=\frac{4}{3}(27})(\pi)$

Multiply the answer by and to yield

$V=36\pi$ .

The answer is $V=36\pi$ .

Report an Error

Example Question #11 : How To Find The Volume Of A Sphere In Pre Algebra

What is the volume of a sphere with a radius of ?

Possible Answers:

$729\pi$

$972 \pi$

$693\pi$

$1272\pi$

Correct answer:

$972 \pi$

Explanation:

To solve for the volume of a sphere, use the equation:

$Volume=\frac{4}{3}(\pi)(radius^{3})$

Substitute the given radius into the equation:

$Volume=\frac{4}{3}(\pi)(9^{3})$

$Volume=(\frac{4}{3})(\pi)(729)$

$Volume=972 \pi$

Report an Error

Example Question #1 : How To Use The Power Rule For Exponents In Pre Algebra

Simplify the exponential expression below.

$(2^{4})^{6}$

Possible Answers:

$2^{24}$

$12^{4}$

$2^{10}$

$2^{2}$

Correct answer:

$2^{24}$

Explanation:

The power rule of exponents states that when an exponential term is raised to another power, we multiply the exponents to simplify.

$(2^{4})^{6}=2^{4*6}=2^{24}$

Report an Error

Example Question #2 : How To Use The Power Rule For Exponents In Pre Algebra

What is the value of (X^2)^4 ?

Possible Answers:

X^2

X^8

X^5

X^6

Correct answer:

X^8

Explanation:

The power rule says that an exponent to the power of another exponent gets multiplied. We can think of (X^2)^4 as $X^2 \times X^2 \times X^2 \times X^2$ , in which case we see that the answer is X^8 because multiplying the same numbers with different exponents adds the exponents.

Report an Error

Example Question #3 : How To Use The Power Rule For Exponents In Pre Algebra

Simplify $(x^{4})^{3}$ .

Possible Answers:

$x^{7}$

$x^{12}$

x^3

x^4

Correct answer:

$x^{12}$

Explanation:

When raising a polynomial to a power you multiply the polynomial inside the parentheses by the power outside of the parentheses.

If you think about it $(x^{4})^{3}$ is equivalent to (x*x*x*x)(x*x*x*x)(x*x*x*x)

So we multiply by to get the power of the answer

The answer is $x^{12}$ .

Report an Error

Example Question #4 : How To Use The Power Rule For Exponents In Pre Algebra

Simplify the expression.

(y^4)^5

Possible Answers:

5y^4

y^9

y^1

y^2^0

20y

Correct answer:

y^2^0

Explanation:

The power rule of exponents states than an exponential term raised to another exponent can be simplified by multiplying the exponents together.

(y^4)^5

$(y)^{4*5}$

$y^{20}$

Report an Error

Example Question #5 : How To Use The Power Rule For Exponents In Pre Algebra

What is $(x^{6})^{8}$ simplified?

Possible Answers:

$x^{48}$

$x^{\frac{6}{8}}$

$x^{2}$

$x^{14}$

Correct answer:

$x^{48}$

Explanation:

When raising a polynomial to a power you multiply the polynomial inside the parentheses by the power outside of the parentheses.

So we multiply by to get the power of the answer as .

The answer is $x^{48}$ .

Report an Error

View Tutors

Delphine
Certified Tutor

Wake Forest University, Bachelor of Science, Business, General. Washington and Lee University, Juris Doctor, Law Enforcement ...

View Tutors

Colton
Certified Tutor

Texas State University-San Marcos, Bachelor of Science, Mathematics.

View Tutors

Omar
Certified Tutor

Western University, Bachelor in Business Administration, Accounting.

All High School Math Resources

8 Diagnostic Tests 613 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

ACT Tutors in Miami, Math Tutors in Seattle, Computer Science Tutors in Chicago, Reading Tutors in Houston, ISEE Tutors in Miami, Spanish Tutors in Denver, SAT Tutors in Houston, Computer Science Tutors in San Diego, SSAT Tutors in Seattle, Math Tutors in San Francisco-Bay Area

Popular Courses & Classes

Spanish Courses & Classes in Miami, Spanish Courses & Classes in Philadelphia, SSAT Courses & Classes in Los Angeles, ACT Courses & Classes in Phoenix, GRE Courses & Classes in Atlanta, SSAT Courses & Classes in Washington DC, MCAT Courses & Classes in Los Angeles, GMAT Courses & Classes in Los Angeles, MCAT Courses & Classes in Miami, Spanish Courses & Classes in Los Angeles

Popular Test Prep

ACT Test Prep in Houston, MCAT Test Prep in Houston, GRE Test Prep in Atlanta, ACT Test Prep in Philadelphia, GRE Test Prep in Philadelphia, GRE Test Prep in Dallas Fort Worth, LSAT Test Prep in Atlanta, GRE Test Prep in Houston, ACT Test Prep in Phoenix, ISEE Test Prep in Atlanta

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

High School Math : Pre-Algebra

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #1 : How To Find The Volume Of A Sphere In Pre Algebra

Example Question #8 : How To Find The Volume Of A Sphere In Pre Algebra

Example Question #3 : How To Find The Volume Of A Sphere In Pre Algebra

Example Question #10 : How To Find The Volume Of A Sphere In Pre Algebra

Example Question #11 : How To Find The Volume Of A Sphere In Pre Algebra

Example Question #1 : How To Use The Power Rule For Exponents In Pre Algebra

Example Question #2 : How To Use The Power Rule For Exponents In Pre Algebra

Example Question #3 : How To Use The Power Rule For Exponents In Pre Algebra

Example Question #4 : How To Use The Power Rule For Exponents In Pre Algebra

Example Question #5 : How To Use The Power Rule For Exponents In Pre Algebra

All High School Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: