47.2k views
4 votes
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.

User Praveen E
by
4.9k points

1 Answer

5 votes

Answer:

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

Explanation:

User Mrhallak
by
4.8k points