A tennis ball can in the shape of a right circular cylinder holds six tennis balls snugly. If the radius of a tennis ball is 3.4 ​cm, what percentage of the can is not occupied by tennis​ balls?

Respuesta :

The percentage of the can that is not occupied by tennis​ balls is 33.33%.

Percentage

Given:

Radius of cylinder=3.4cm

First step

Height of cylinder=3.4×2×6

Height of cylinder=40.8 cm

Second step

Volume of cylinder=(3.4)^2×40.8

Volume of cylinder=471.648

Volume of tennis=6×4/3×(3.4)^3

Volume of tennis=314.432

Third step

Percentage=471.648-314.432/471.648×100

Percentage=33.33%

Therefore the percentage of the can that is not occupied by tennis​ balls is 33.33%.

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