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)
It would be 5/6 because the denominator Is smaller than 10
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Answer:
(8x-7)(8x+7)
Step-by-step explanation:
This is a difference of squares polynomial of the form
. Since 64 and 9 are both perfect squares then take the square root of each so a=8 and b=7.
Factors:(8x-7)(8x+7)
Answer:
23
Step-by-step explanation:
The sides of a square are all the same length, so if 3 of them total 48, one of them must be 48/3 = 16.
If the length of the rectangle is 7 longer than the side of the square, it is
... 16 + 7 = 23
Answer:259
Step-by-step explanation:
Its summation of 6^i-1 for values of I = 1,2,3 and 4
= 6^0 + 6^1 +6^2 +6^3
=259