What is the next number? 2 7 8 3 12 9
2 answers:
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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.
Please mark it the brainliest
Answer:
(-∞, -2), (-2, -0.618), and (1.618, 3)
Step-by-step explanation:
The red arrows indicate the regions in which the function is decreasing.
The corresponding intervals are (-∞, -0.618) and (1.618, 3),
Let's examine the intervals given.
(-∞, -2): Yes, decreasing.
(-2, -0.618): Yes, decreasing.
(-2, 0.689): No. Decreasing in (-2, -0.618) but increasing in (-0.618, 0.689).
(-1.17, 0.689): No. Decreasing in (-1.17, -0.618) but increasing
in (-0.618, 0.689).
(0.698, 71.457): No. Increasing from (0.698, 1.618), decreasing in (1.618, 3) and increasing in (3, 71.457).
(1.618, 3): Yes, decreasing.
(2.481, ∞): No. Decreasing in (2.481, 3) but increasing in (3, ∞).
The three choices that indicate a decreasing interval are (-∞, -2),
(-2, -0.618), and (1.618, 3).
