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Likurg_2 [28]
4 years ago
7

Suppose that a sphere with radius 5a has the same volume as a cone of radius 3a. What is the height of the cone? Give your answe

r in terms of a. Use the formulas and for the volumes of a sphere and cone respectively.
Mathematics
2 answers:
Marina86 [1]4 years ago
7 0
Volume of the sphere: [4/3]π (r^3) = [4/3]π(5a)^3 = [4/3]π*125a^3 =

Volume of the cone: [1/3]π(r^2)H = [1/3]π(3a)^2 * H = 3πa^2 * H

Volumen of the sphere = Volumen of the cone =>

[4/3]π*125a^3 = 3πa^2 * H => H = [500/9]a = 55.55 a

 


jarptica [38.1K]4 years ago
5 0

Answer: its 500/9a : took the test got it right! hope this helps(:


Step-by-step explanation:


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Jason cycled for 3 hours. He cycled 7 1/2 miles each hour for the first two hours and the distance he cycled for the third hour
suter [353]

Answer:

Total distance Jason cycled = 20 miles

Step-by-step explanation:

Distance covered in first 2 hours = 2( 7.5)

                                                         =15

Distance covered in the 3rd hour = 15/3                    

                                                                  = 5

Dividing by 3 because the distance covered in the 3rd hour is 1/4 of the distance covered in first two hours. By dividing by 3 we will get 1/4 of the distance

Total Distance =  Distance covered in first two hours

                             + Distance covered in  the 3rd hour                                                                                                                      

                                                                                                       

                             =15  + 5

Total Distance  = 20

3 0
3 years ago
A presidential candidate plans to begin her campaign by visiting the capitals in 4 of 42 states. What is the probability that sh
marissa [1.9K]

Answer:

P (She selects the route of four specific capitals) = \frac{1}{2686320}=(3.7226)10^{-7}

D. No,it is not practical to list all of the different possible routes because the number of possible permutations is very large.

Step-by-step explanation:

Let's start assuming that each route is equally likely to be chosen.

Assuming this, we can calculate P(A) where the event A is ''She selects the route of four specific capitals'' doing the following :

P(A) = Favourable cases in which the route of four specific capitals is selected / Total number of ways in 4 of 42 states

The favourable cases in which the route of four specific capitals is selected is equal to 1 .

For the denominator we need the permutation number of 4 in 42.

The permutation number is defined as :

nPr=\frac{n!}{(n-r)!}

42P4=\frac{42!}{(42-4)!}=\frac{42!}{38!}=2686320

The probability of event A is : \frac{1}{2686320}=(3.7226)10^{-7}

Finally for the other question : The option D is the correct because the number of possible permutations is 2686320 and is very large to be listed.

7 0
3 years ago
I NEED HELP FAST!
Degger [83]

Answer:

25

Step-by-step explanation:

4.5×5.5=24.75

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8 0
3 years ago
Which is longer 635 millimeters or 535 centimeters ?
zavuch27 [327]
535 centimeters because of the decimal places
6 0
4 years ago
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Answer: -3

Step-by-step explanation: If you're giving your friend 3 cookies, it's a decrease which means that it's negative.

So giving your friend 3 cookies can be written as -3.

3 0
3 years ago
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