CapriDynasty
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If r = 6 cm, h = 20 cm, and a = 9 cm, what is the volume of birdseed that the bird feeder can hold at full capacity?

If R 6 Cm H 20 Cm And A 9 Cm What Is The Volume Of Birdseed That The Bird Feeder Can Hold At Full Capacity class=

Sagot :

Volume of COne + Volume of cylinder = volume of bird feeder

[tex] \pi r^2 \frac{h}{3} + \pi r^2h\\ \pi (6)^2 \frac{20}{3} + \pi (6)^2(20)\\ \pi (240) + \pi (720)\\\pi (960) = 3014.14 cm^3[/tex]

Volume is a three-dimensional scalar quantity. The volume of the bird feeder is 828 cm³.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of birdseed that the bird feeder can hold at full capacity:

The volume of bird feeder = Volume of cylinder + Volume of Cone

= (π×r²×h) + [(1/3)×π×r²×a]

= (π×6²×20) + [(1/3)×π×6²×9]

= 720π + 108π cm³

= 828 cm³

Hence, the volume of the bird feeder is 828 cm³.

Learn more about Volume:

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