Discovering the Sphere's Diameter.

Discover High School Math Concepts, Examples, and Explanations

Determining the diameter of a sphere with a certain volume requires utilizing the volume equation for a sphere to obtain its radius, which is equated at half the diameter. The volume equation is as follows:

Inserting the given volume value results in the solution of the radius. Finally, doubling the radius gives the diameter.

Possible Answers:

Correct answer:

Explanation: To calculate the diameter of the sphere, we must first find the radius by applying the volume formula, and then multiply the radius by two to obtain the diameter.

To commence, we undertake a process of division on both sides of the equation in order to obtain a desired outcome.

Next, we execute a multiplication process on both sides of the equation with the intention of attaining the desired outcome.

Subsequently, we apply the cubic root function to each side of the equation as a method of resolving for the radius.

The value for the radius can now be ascertained.

Thereafter, we proceed to apply multiplication to the resolved radius value by a factor of 2, with the intent of determining the value for the diameter.

Thus, the solution for the diameter is revealed.

Now, given the volume of a sphere, the diameter must be computed.

We begin by inputting the provided values into the equation.

Finally, the correct answer can be deduced.

Observe that the negation of one 's' cancels out the other 's' in this context.

The radius of a sphere is half of its diameter, thus...

If one is given the surface area of a sphere, the task is to determine its diameter.

Potential Solutions:

Accurate Solution:

Explanation: The standard formula for calculating the surface area of a sphere is...

To determine the diameter, start by plugging in the provided surface area into the equation and solving for the radius. Then double the radius to obtain the diameter. If given the volume of the sphere, the equation to use is  .

There are multiple correct answers to this problem depending on the given variables and which formula is needed.

If a sphere has a given volume, you can solve for its radius by plugging the volume into the equation provided and solving for the radius. After you've found the radius, double that value to calculate the sphere's diameter.

What is the diameter of a sphere that has the volume specified?

Possible Answers:

Correct answer:

Explanation: The volume of a sphere can be calculated using the established equation:

Tai Certified Tutor holds a Bachelor of Science in Neuroscience from Wesleyan University and a Master of Arts in Education from Relay Graduate School of Education. James Certified Tutor obtained a Bachelor of Science in Business Administration and Management from Minnesota State University-Mankato, while Justin Certified Tutor earned a Bachelor of Education in Special Education and a Masters in Education in Teaching from Cleveland State University.

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