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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]
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