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Andrew [12]
3 years ago
6

A can holds 4 golf balls. The diameter of each golf ball is 5 cm. What is the volume of the empty space inside the can?

Mathematics
1 answer:
forsale [732]3 years ago
7 0

Answer:

Volume of the empty space in the can  is 327.05  cm^3

Step-by-step explanation:

Given:

Number of golf ball the can holds = 4

Diameter of the golf ball = 5 cm

To Find:

Volume of the empty space in the can = ?

Solution:

Step 1:  Finding the volume of one golf ball

Ball is shape of the sphere

So lets use the volume of the sphere formula

Volume of the  golf ball = \frac{4}{3}\pi r^3

Radius =\frac{5}{2} = 2.5 cm

Substituting the values

Volume of the  golf ball  

=\frac{4}{3} \pi \times(2.5)^3

=\frac{4}{3} \pi \times (15.625)

= \frac{4}{3} \times 49.06

= \frac{196.24}{3}

= 65.41

Step 2:  Finding the volume of empty space of the can

volume of empty space of the can =  volume of 5 golf ball

= 5 X 65.41

= 327.05

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