A Dixie cup of water is in the shape of a cylinder with diameter 8 cm and height 15 cm. Emily is using

the cups to fill a spherical fishbowl with a diameter of 75 cm. She needs to fill the cups ahead of time

and wants to know what is the minimum number of cups she needs in order to fill the fishbowl.

Question

Mathematics

Punk

5 February, 02:05

A Dixie cup of water is in the shape of a cylinder with diameter 8 cm and height 15 cm. Emily is using

the cups to fill a spherical fishbowl with a diameter of 75 cm. She needs to fill the cups ahead of time

and wants to know what is the minimum number of cups she needs in order to fill the fishbowl.

+1

Answers (1)

Know the Answer?

Chaya Quinn · Answer 1

Dixie Cup Volume = π • r² • height

volume = PI * 4^2 * 15

Dixie Cup Volume = 753.9822368616 cubic cm

Sphere Volume = 4/3 • π • r³

Fishbowl Volume = 4/3 * PI * 37.5^3

Fishbowl Volume = 220,893.233 cubic cm

She'll need this many Dixie Cups (220,893.233 / 753.982)

= 292.96 Which rounds to

293 Dixie Cups

A Dixie cup of water is in the shape of a cylinder with diameter 8 cm and height 15 cm. Emily is usingthe cups to fill a spherical fishbowl with a diameter of 75 cm. She needs to fill the cups ahead of timeand wants to know what is the minimum number of cups she needs in order to fill the fishbowl.