Daren used rice to fill a cylindrical glass measuring 6 inches high with a radius of 2.5 inches. He
pours this rice into a cardboard cylinder that is 3.5 inches high with a diameter of 8 inches. Will he have
enough rice to fill the cardboard cylinder? Explain (must show all work) Round to the nearest tenth if
necessary.


plz show work I'll give extra points​

Respuesta :

Answer:

no

Step-by-step explanation:

1. Find the area of the glass cylinder

[tex]V=\pi 2.5^26[/tex]

[tex]V=\pi (6.25)6[/tex]

[tex]V=19.625(6)[/tex]

[tex]V=117.8[/tex]

2. Find the volume of the cardboard cylinder

(the radius is 4 because [tex]r=\frac{1}{2} d[/tex] )

[tex]V=\pi 4^23.5[/tex]

[tex]V=\pi (16)3.5[/tex]

[tex]V=50.24(3.5)[/tex]

[tex]V=175.8[/tex]

[tex]117.8<175.8[/tex]

the volume of the cardboard cylinder is greater than the volume of the glass cylinder so no, he will not have enough rice to fill the cardboard cylinder .

Coochie is 6 inches and 2.5 wide