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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The surface area of the cube with a side length of 2 units is 24 units squared
<h3>How to determine the surface area?</h3>
The side length of the cube is given as:
l = 2
The surface area is calculated as:
Surface area = 6l^2
This gives
Surface area = 6 *2^2
Evaluate
Surface area = 24
Hence, the surface area of the cube is 24 unit squared
Read more about surface area at:
brainly.com/question/13175744
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The simplified version of the expression is this: 5(x² + 9) ÷ x.