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andreev551 [17]
3 years ago
12

Please answer as quickly as you can! ♥ Find two possible dimensions for a cylinder that has a volume of 64π cm³.

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
3 0

Answer:

Possible dimensions are r=4\,\,cm\,,\,h=4\,\,cm and h=16\,\,cm\,,\,r=2\,\,cm

Step-by-step explanation:

Given:

Volume of a cylinder is 64\pi\,\,cm^3

To find: Dimensions of a cylinder

Solution:

Let r,h denote height of a cylinder.

Volume of a cylinder = \pi r^2h

Therefore,

64\pi=\pi r^2h\\64=r^2h\\4^2\,4=r^2h

One possible dimension can be r=4\,\,cm\,,\,h=4\,\,cm.

Also, 64=r^2h can be written as 16(2^2)=hr^2

So, another possible dimension can be h=16\,\,cm\,,\,r=2\,\,cm

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