Hank is putting jelly candies into two containers one container is a cylindrical Jar with a height of 33.3 cm and a diameter of 8 cm the other container is spherical pink determines that the candies are selling cylindrical In shape and that each candy has a height of 2 cm and a diameter of 1.5 cm he also determines that air will take up 20% of volume of the containers the rest of the Space will be taken up by the candies after Hank Phils the cylindrical Candies what will be the volume in cubic centimeters of the air in the cylindrical Candies what will be the volume in cubic centimeters of the air in the cylindrical Jar

Respuesta :

Answer:

334.60 but if rounding to nearest whole number its 335

The volume of air in cylindrical jar is 334.60 [tex]cm^{3}[/tex].

What is the volume of cylinder?

The formula to calculate volume of a cylinder is given by the product of base area and its height.

Given

Height = 33.3 cm

Diameter = 8 cm

Radius = [tex]\frac{Diameter}{2}[/tex] = 4 cm

The volume of cylindrical jar = height × Base area

= 33.3 × [tex]\pi.(4^{2} )[/tex]

= 33.3 × [tex]16\pi[/tex]

= 532.8[tex]\pi[/tex] [tex]cm^{3}[/tex]

The air take up 20%

The volume of air in cylindrical jar

= 532.8[tex]\pi[/tex] × 20%

= 106.56[tex]\pi[/tex]

≅ 334.60 [tex]cm^{3}[/tex]

Hence, the volume of air in cylindrical jar is 334.60 [tex]cm^{3}[/tex].

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