Answer:
The plastic cylindrical cup will hold 17.96 ounces of water.
Step-by-step explanation:
Given:
A 6 oz paper cup is shaped like a cone with a diameter of 4 inches.
Now, to find ounces of water will a plastic cylindrical cup with a diameter of 4 inches hold if it is the same height as the paper cup.
Volume of cone = 6 oz.
Diameter = 4 inches.
So, radius (r) = [tex]\frac{Diameter}{2} =\frac{4}{2} =2\ inches.[/tex]
Taking the value [tex]\pi[/tex] = 3.14.
Now, to get the height (h) we put formula:
[tex]Volume=\pi r^2\frac{h}{3}[/tex]
[tex]Volume=3.14\times 2^2\times \frac{h}{3}[/tex]
[tex]6=3.14\times 4\times \frac{h}{3}[/tex]
Multiplying both sides by 3 we get:
[tex]18=12.56h[/tex]
Dividing both sides by 12.56 we get:
[tex]1.43=h[/tex]
[tex]h=1.43\ inches.[/tex]
Now, to get the volume of cylindrical cup.
As, given it is the same height as the paper cup.
Height (h) = 1.43 inches.
Diameter = 4 inches.
Radius (r) = [tex]\frac{Diameter}{2} =\frac{4}{2} =2\ inches.[/tex]
So, we put formula to get the ounces of water a plastic cylindrical cup will hold:
[tex]Volume =\pi r^2h[/tex]
[tex]Volume=3.14\times 2^2\times 1.43[/tex]
[tex]Volume=3.14\times 4\times 1.43[/tex]
[tex]Volume=17.96\ oz.[/tex]
Therefore, the plastic cylindrical cup will hold 17.96 ounces of water.
Answer:
its b according to geogebra.org
Step-by-step explanation:
