Answer:
Step-by-step explanation:
cylinder's height=3×(diameter of sphere)=3×6=18 cm
radius of cylinder=3 cm
volume of cylinder=π r²h=π(3)²×18=162 π cm³
volume of sphere=4/3 π(3)³=36 π cm³
reqd. empty space=162 π-3×36π=54 πcm³
Answer:
19.048
Step-by-step explanation:
C, A, B
A’s rate if change:
3
B’s rate of change:
(10 - 0) / (-2 - (-4)) = 10 / 2
5
C’s rate of change:
1
The probability that the result is green - tail is 1/6.
Spinner has three colors that are red, green and yellow and coin has two sides that are head or tail.
<h3>What is the formula for probability?</h3>
Divide the number of events by the number of possible outcomes
The sample space is,
In total there are 6 ways to combine different colors with coin sides.
Therefore ,the probability that the result is green - tail is 1/6.
To learn more about the probability visit:
brainly.com/question/25870256
The equation of the line containing (- 4,5) and perpendicular to the line 5x - 3y = 4 is y = -3 / 5 x + 13 / 5
<h3>How to find the equation of a line?</h3>
The equation of a line can be represented as follows:
y = mx + b
where
Therefore, the equation passes through (-4, 5) and perpendicular to 5x - 3y = 4
Hence,
perpendicular lines follows the rule below:
m₁m₂ = -1
Hence,
5x - 3y = 4
5x - 4 = 3y
y = 5/ 3 x - 4 / 3
m₁ = 5 / 3
5/3 m₂ = -1
m₂ = - 3 / 5
Hence,
using (-4, 5)
5 = - 3 / 5 (-4) + b
5 = 12 / 5 + b
b = 5 - 12 / 5 = 25 - 12 /5 = 13 / 5
Therefore,
y = -3 / 5 x + 13 / 5
learn more on equation of a line here: brainly.com/question/10727767
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