Volume of the cone = (1/3) pi r^2 h
h = 2r so substituting for h:-
V = (1/3) pi r^2 * 2r
V = (2/3) pi r^3
Answer:
5.055 m by 13.055 m
Step-by-step explanation:
Let x represent the width of the room in meters. Then the length is x+8 meters, and the room area is ...
A = LW = (x+8)(x) = 2(rug area)
x^2 +8x = 2(3)(11) = 66
Completing the square, we have ...
x^2 +8x +16 = 82
(x +4)^2 = 82
x = -4 ±√82 ≈ {-13.055, +5.055}
The magnitudes of these dimensions are the dimensions of the room:
√82 ± 4 = {5.055, 13.055} . . . meters
Therefore, the room is 5.055 × 13.055 meters.
The trip was 6 hours long.
Step-by-step explanation:
Given,
The time to go to the island = 1
hours.
The return trip took 3/4 of the time of the original trip.
To find the time of the trip.
Let,
The time of the original trip is x hours.
The time for returning = 
According to the problem,
1
+
= x
or, x -
= 
or,
= 
or, x =
×4 = 6 hours
Hence,
The trip was 6 hours long.
Answer:
-6x² + 5x + 15
Step-by-step explanation:
Combine like terms. Like terms are terms with the same amount of variables.
Reorder based on descending powers:
-5x² - x² + 7x - 2x + 10 + 5
(-5x² - x²) + (7x - 2x) + (10 + 5)
(-6x²) + (5x) + (15)
-6x² + 5x + 15 is your answer.
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I think 6 but how r u supposed to know how many marbles you started with