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jeyben [28]
3 years ago
15

Sharon is making a large batch of soup. The soup reaches a height of 25 in a cylindrical pot whose diameter is 30cm. To store th

e soup for later, she'll pour it into ice cube molds where each cube has edges that are 7cm, end text long.
Mathematics
1 answer:
nasty-shy [4]3 years ago
7 0

Complete question :

Sharon is making a large batch of soup. The soup reaches a height of 25 in a cylindrical pot whose diameter is 30cm. To store the soup for later, she'll pour it into ice cube molds where each cube has edges that are 7cm long. How many whole cubes can Sharon make?

Answer:

About 51 ice cubes

Step-by-step explanation:

Given the following :

Height (h) of cylindrical pot = 25

Diameter = 30cm

Edge of ice cube = 7cm long

Volume of cylinder (v) = πr^2h

V = π * (30/2)^2 * 25

V = π * 15^2 * 25

V = 17671.458cm^3

Therefore, the soup occupies 17673.75cm^3

Volume of cubes to store the soup for later:

The volume of a cube is given by the formula:

V = a^3

Where a is the length of it's edge

V = 7^3

V = 343cm^3

Number of cubes required to store soup:

(Volume of cylinder / Volume of ice cube)

17671.458cm^3 / 343cm^3

= 51.520287

This is about 51 whole cubes

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