The volume of the frustum is volume of the whole cone(A) minus the smaller cone(B) which is would give the volume of frustum(C) = 256cm³
<h3>Calculation of a frustum</h3>
The volume of cone A V=πr²h/3
Where radius = 20cm
The volume of cone B = V=πr²h/3
Where radius = 12cm
Therefore volume of frustum =
V=π * 20² * h/3 - π * 12² *h/3
The variables will cancel out each other
V = 20² - 12²
V = 400- 144
V = 256cm³
Therefore, the volume of the frustum(C) = 256cm³
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Answer:
x = -3 and x = -2
Step-by-step explanation:
-3 +3 = 0
-3 + 3 = 1
thus that means 0 + 1 = 1
X=1/5y+6/5
hope this helps!
Answer:25 hope this helps
Step-by-step explanation:
Answer:
The height is 12.9m
Step-by-step explanation:
First we have to find the distance from the corner of the flag to the opposite corner, for this we will use Pythagoras
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides
h² = s1² + s2²
h² = 10² + 20²
h² = 100 + 400
h² = 500
h = √500
h = 22.36
Now that we know this measurement we can calculate the height of the flagpole
well to start we have to know the relationship between angles, legs and the hypotenuse
α = 30
a: adjacent = 22.36
o: opposite = ?
h: hypotenuse
sin α = o/h
cos α= a/h
tan α = o/a
we see that it has (angle, adjacent, opposite)
is the tangent
tan α = o/a
tan 30 = o/22.36
tan30 * 22.36 = o
12.9 = o
The height is 12.9m