lucky995
Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

The volume of a right circular cone is found using the equation V = 1 3 π r 2 h . Which equation represents the volume solved for r ? r = √ π V 3 h r = √ π V 3 h r = √ V h 3 π r is equal to square root of cap v h over 3 pi end root r = √ 3 π V h r is equal to square root of 3 pi over cap v h end root r = √ 3 V π h r = √ 3 V π h

Sagot :

MrRoyal

Solving for a variable in an equation means, we are changing the subject of formula of the equation.

The equation of r is: [tex]\mathbf{r = \sqrt{\frac{3V}{\pi h}}}[/tex]

The equation is given as:

[tex]\mathbf{V = \frac 13 \pi r^2h}[/tex]

We start by multiplying both sides by 3

[tex]\mathbf{V \times 3= \frac 13 \pi r^2h \times 3}[/tex]

Rewrite as:

[tex]\mathbf{3V= \pi r^2h}[/tex]

Divide both sides by [tex]\mathbf{\pi h}[/tex]

[tex]\mathbf{\frac{3V}{\pi h}= \frac{\pi r^2h}{\pi h}}[/tex]

Cancel out common factors

[tex]\mathbf{\frac{3V}{\pi h}= r^2}[/tex]

Take square roots of both sides

[tex]\mathbf{\sqrt{\frac{3V}{\pi h}}= \sqrt{r^2}}[/tex]

Evaluate the right-hand sides

[tex]\mathbf{\sqrt{\frac{3V}{\pi h}}= r}[/tex]

Make r the subject

[tex]\mathbf{r = \sqrt{\frac{3V}{\pi h}}}[/tex]

Hence, the resulting equating for r is:

[tex]\mathbf{r = \sqrt{\frac{3V}{\pi h}}}[/tex]

Read more about the subject of formulas at:

https://brainly.com/question/21866313

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.