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2 answers:
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The total number of marbles is 
.
If we draw a red marble, the chance of that occurring is
.
Now the total number of marbles left is 7. If we then draw a green marble, the chance of that occurring is
.
So the chance of drawing a red, then green, marble is
.
If we draw a red marble, the chance of that occurring is
Now the total number of marbles left is 7. If we then draw a green marble, the chance of that occurring is
So the chance of drawing a red, then green, marble is
Answer:
Volume of the frustum = ⅓πh(4R² - r²)
Step-by-step explanation:
We are to determine the volume of the frustum.
Find attached the diagram obtained from the given information.
Let height of small cone = h
height of the large cone = H
The height of a small cone is a quarter of the height of the large cone:
h = ¼×H
H = 4h
Volume of the frustum = volume of the large cone - volume of small cone
volume of the large cone = ⅓πR²H
= ⅓πR²(4h) = 4/3 ×π×R²h
volume of small cone = ⅓πr²h
Volume of the frustum = 4/3 ×π×R²h - ⅓πr²h
Volume of the frustum = ⅓(4π×R²h - πr²h)
Volume of the frustum = ⅓πh(4R² - r²)
