Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Discover reliable solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
Answer:
The radius of the cup is 3.1 cm.
Step-by-step explanation:
First, we the volume of a right cylinder is [tex]V = πr^{2} h[/tex].
- V = volume of the cylinder
- [tex]π[/tex] = pi
- r = radius of the cylinder
- h = height of the cylinder
Now, using the information that was given to us, we can plug what we know into the equation: [tex]450=πr^{2}(15)[/tex].
From here, we simply solve for r by isolating it to find the radius. *Remember, what we do to one side we must do to the other.
- Divide both sides by 15 to cancel it out on the right: [tex]30=πr^{2}[/tex]
- Divide both sides by pi to cancel it out on the right: [tex]9.549296586=r^{2}[/tex] (do not round until you have your final answer)
- Square root both sides to cancel out the exponent on the right: [tex]3.090193616=r[/tex]
- Round to the nearest tenth to get [tex]r=3.1[/tex]
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.