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Andrej [43]
3 years ago
12

A cone and a cylinder have the same height and their bases are congruent circles

Mathematics
1 answer:
sveticcg [70]3 years ago
5 0

Answer:

30 cm^3

Step-by-step explanation:

Given

radius for both shape = r

height  for both shape = h

volume of cylinder is given by \pi r^2h

volume of cone is given by 1/3(\pi r^2h)

From above two equation we can see that  \pi r^2h is volume of cylinder

thus we can say that volume of cone is 1/3(volume of cylinder)

So we can say that for any cylinder and cone whose height is same and base is congruent

volume of cone will be one-third of volume of cylinder.

Now in given problem

volume of cylinder is 90 cm^3

So , volume of given cone will be one-third of 90 cm^3

which is 1/3*90 cm^3 = 30 cm^3.

Thus, volume of the given cone is 30 cm^3.

Please mark it the brainliest

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