Question

Vesa has two different choices to buy popcorn at the movie

theater. She can buy them in cylinder-shaped boxes with a
length of diameter 20cm and length of height 40cm, or with
a length of diameter 30cm and length of height 20cm.
Which box should Vesa choose if she wants to buy more
popcorn?

Answer 1

She should choose the second cylinder-shaped box with a diameter of 30 cm and a height of 20 cm.

Explanation:

The volume of a cylinder with a diameter of 20 cm (radius of 10 cm) and a height of 40 cm:

`V=\pi{r^2h}`

`V=\pi{(10^2)(40)}`

`V\approx{12566.37\text{ cm}\textsuperscript{3}}`

The volume of a cylinder with a diameter of 30 cm (radius of 15 cm) and a height of 20 cm:

`V=\pi{r^2h}`

`V=\pi{(15^2)(20)}`

`V\approx{14137.17\text{ cm}\textsuperscript{3}}`

Therefore, if Vesa wants to buy more popcorn, she should choose the second cylinder-shaped box with a diameter of 30 cm and a height of 20 cm.