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

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Example Questions

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Example Question #1 : Cylinders, Pyramids, Cones, And Spheres Volume Formulas: Ccss.Math.Content.Hsg Gmd.A.3

Find the volume of a sphere, where the radius is .

Possible Answers:

Correct answer:

Explanation:

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

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

Thus the volume is, 

Here is a picture representation of the sphere.

Plot1

Example Question #1 : Cylinders, Pyramids, Cones, And Spheres Volume Formulas: Ccss.Math.Content.Hsg Gmd.A.3

Find the volume of a sphere, where the radius is .

Possible Answers:

Correct answer:

Explanation:

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

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

Thus the volume is, 

Here is a picture representation of the sphere.

Plot2

Example Question #21 : Geometric Measurement & Dimension

Find the volume of a sphere, where the radius is .

Possible Answers:

Correct answer:

Explanation:

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

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

Thus the volume is, 

Here is a picture representation of the sphere.

Plot6

Example Question #2 : Cylinders, Pyramids, Cones, And Spheres Volume Formulas: Ccss.Math.Content.Hsg Gmd.A.3

Find the volume of a sphere, where the radius is .

Possible Answers:

Correct answer:

Explanation:

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

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

Thus the volume is, 

Here is a picture representation of the sphere.

Plot12

Example Question #1 : Cylinders, Pyramids, Cones, And Spheres Volume Formulas: Ccss.Math.Content.Hsg Gmd.A.3

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 representation of our sphere.

Plot3

Example Question #6 : Cylinders, Pyramids, Cones, And Spheres Volume Formulas: Ccss.Math.Content.Hsg Gmd.A.3

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.

Plot4

Example Question #1 : Cylinders, Pyramids, Cones, And Spheres Volume Formulas: Ccss.Math.Content.Hsg Gmd.A.3

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 representation of the hemisphere.

Plot5

Example Question #2 : Cylinders, Pyramids, Cones, And Spheres Volume Formulas: Ccss.Math.Content.Hsg Gmd.A.3

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 what the hemisphere look like.

Plot7

Example Question #2 : Cylinders, Pyramids, Cones, And Spheres Volume Formulas: Ccss.Math.Content.Hsg Gmd.A.3

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.

 

Plot8

Example Question #10 : Cylinders, Pyramids, Cones, And Spheres Volume Formulas: Ccss.Math.Content.Hsg Gmd.A.3

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.

Plot9

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