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
volume of cone is given by
From above two equation we can see that 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.
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