The volume of the solid is 626.12m³
<h3>Volume of composite solids.</h3>
The volume of the given composite solid = volume of cylinder - volume of cube
The volume of cylinder Vc = πr²h
Vc = 3.14(8/2)²(13)
Vc = 3.14(16)(13)
Vc = 653.12 m³
Similarly the volume of the cube:
Volume of cube = 3³
Volume of cube = 27 m³
Volume of the solid = 626.12m³
Hence the volume of the solid is 626.12m³
Learn more on volume of composite solid here; brainly.com/question/9076728
Here's the solution,
the volume of the given figure is :
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volume of pyramid :
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=》
=》
=》
volume of pyramid = 40 cm³
now, volume of rectangular prism :
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volume of rectangular prism = 40 cm³
volume of composite figure = 40 + 40
=》80 cm³
Answer: pr (blue) = 1/3 or 0.33
Pr(green without replacement) = 1/2 = 0.5
Step-by-step explanation:
Probability = number of possible outcomes/ number of total outcomes
Total number of outcomes is the sum of all the marbles, given as 9
Pr ( first marble blue) = no of blue marbles/ total number of marbles
= 3/9 = 1/3 or 0.333
Second marble is chosen without replacement- this means that the total outcome has reduced by 1, total number of marbles has reduced to 8 because there was no replacement.
Pr (second marble is green) = number of green marble/ total number of marbles without replacing the first marble
= 4/8 = 1/2 = 0.5
I hope this helps.
The consecutive positive integers would be: x and (x+1),
We would have to solve the following equation to find these numbers:
x(x+1)-[x+(x+1)]=29
x²+x-2x-1=29
x²-x-30=0
x=[1⁺₋√(1+120)]/2
x=(1⁺₋11)/2
We have two possible solutions:
x₁=(1-11)/2=-5 then: (x+1)=-5+1=-4 This is not the solution.
x₂=(1+11)/2=6 then: (x+1)=6+1=7 This solution is right.
Answer: the numbers would be 6 and 7.
