Question

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 1

Option A. 4 cm

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

`V=\pi r^(2)h`

we have

`V=500\ cm^3\\h=10\ cm\\\pi =3.14`

substitute in the formula

`500=(3.14)r^(2)(10)`

solve for r

`r^2=500/31.4\\r^2=15.92\\r=3.99\ cm`

therefore

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