Question

Jill and Marcy go to an ice cream store where they have the option of getting a smoothie in either a cylindrical or rectangular container. The cylinder has a height of 8 cm and a radius of 8 cm. The rectangular container has a height of 8 cm, a length of 8 cm, and a width of 5 cm. Jill purchased the cylindrical container and Marcy purchased the rectangular container. Who got the larger smoothie, and what was its volume?

Answer 1

Answer: Jill got the larger smoothie and its volume is 1609.14 cubic cm.

Explanation:

Since we have given that

Jill purchased the cylindrical container.

Height of container = 8 cm

Radius = 8 cm

So, volume of cylindrical container would be

`\pi r^2h\\\\=(22)/(7)* 8* 8* 8\\\\=1609.14\ cm^3`

Marcy purchased the rectangular container.

Height of container = 8 cm

Width = 8 cm

Length = 8 cm

so, volume of rectangular container would be

`l* b* h\\\\=8* 8* 8\\\\=512\ cm^3`

Hence, Jill got the larger smoothie and its volume is 1609.14 cubic cm.