Common Core: High School - Geometry : Cylinders, Pyramids, Cones, and Spheres Volume Formulas: CCSS.Math.Content.HSG-GMD.A.3

Study concepts, example questions & explanations for Common Core: High School - Geometry

varsity tutors app store varsity tutors android store

All Common Core: High School - Geometry Resources

6 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #411 : High School: Geometry

Find the radius of a sphere, where the volume is .
Round your answer to  digits.

 

Possible Answers:

Correct answer:

Explanation:

Before we find the radius of a sphere, we need to recall the equation.

Since we are given the volume (), we can plug it into the equation.

Now we can solve for .

Now we divide by on each side.

Now our equation is

To solve for , we need to take the cube root on each side.

Here is a picture of the sphere.

Plot10

Example Question #42 : Geometric Measurement & Dimension

Find the radius of a hemisphere, where the volume is .
Round your answer to  digits.

Possible Answers:

Correct answer:

Explanation:

Before we find the radius of a hemisphere, we need to recall the equation.

Since we are given the volume (), we can plug it into the equation.

Now we can solve for .

Now we divide by  on each side.

Now our equation is

To solve for , we need to take the cube root on each side.

Here is a picture of the hemisphere.

Plot11

All Common Core: High School - Geometry Resources

6 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept
Learning Tools by Varsity Tutors