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factory designs cylindrical cans 10 \, \text{cm}10cm10, start text, c, m, end text in height to hold exactly 500 \, \text{cm}^3500cm
3
500, start text, c, m, end text, cubed of liquid. Which of the following best approximates the radius of these cans?

Answer :

calculista

Answer:

Option A.  4 cm

Step-by-step explanation:

The correct question is

A factory designs cylindrical cans 10 cm in height to hold exactly 500 cm cubed of liquid. Which of the following in cm best approximates the radius of these cans?

A. 4 cm

B. 8 cm

C. 12.5 cm

D. 15.9 cm

we know that

The volume of a cylinder (can) is equal to

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

we have

[tex]V=500\ cm^3\\h=10\ cm\\\pi =3.14[/tex]

substitute in the formula

[tex]500=(3.14)r^{2}(10)[/tex]

solve for r

[tex]r^2=500/31.4\\r^2=15.92\\r=3.99\ cm[/tex]

therefore

The best approximation of the radius of these cans is 4 cm

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