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VladimirAG [237]
3 years ago
14

Find the diameter of a cone that has a volume of 56.52 cubic inches and a height of 6 inches. Use 3.14 for pi. a. 3 inches. b. 6

inches. c. 9 inches. d. 12 inches
Mathematics
1 answer:
sergejj [24]3 years ago
3 0
Volume of cone = (1/3)pi*r²h

56.52 = (1/3)*3.14*r²*6

56.52/(2*3.14) = r²

9 = r²

r² = 9

r = √9

r = 3

Diameter = 2*r = 2*3 = 6 inches.    b.
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Answer: The ball hits the ground at 5 s

Step-by-step explanation:

The question seems incomplete and there is not enough data. However, we can work with the following function to understand this problem:

f=30 t- 6t^{2} (1)

Where f models the height of the ball in meters and t the time.

Now, let's find the time t when the ball Sara kicked hits the ground (this is when f=0 m):

0=30 t- 6t^{2} (2)

Rearranging the equation:

6t^{2}-30 t=0 (3)

Dividing both sides of the equation by 6:

t^{2}-5 t=0 (4)

This quadratic equation can be written in the form at^{2}+bt+c=0, and can be solved with the following formula:  

t=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a} (5)  

Where:  

a=1  

b=-5  

c=0  

Substituting the known values:  

t=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(0)}}{2(1)} (6)  

Solving we have the following result:

t=5 s  This means the ball hit the ground 5 seconds after it was kicked by Sara.

6 0
3 years ago
Evaluate plzzz help am giving brainliest
posledela

Answer:

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Step-by-step explanation:

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Read 2 more answers
2 planes fly in opposite directions. One travels 475 mi/h and the other 525 mi/h . How long will it take before they are 6,000 m
pychu [463]
The speed at which they are moving apart = 475 + 525 = 1000 mi/h

Time  = distance / speed
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The answer is 6 hours.



8 0
3 years ago
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