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VMariaS [17]
2 years ago
8

The volume of a cone is 3πx3 cubic units and its height is x units.

Mathematics
2 answers:
GaryK [48]2 years ago
8 0

Answer:

It is given that the volume of a cone = 3 \pi x^{3} cubic units

Volume of cone with radius 'r' and height 'h' = \frac{1}{3} \pi r^{2}h

Equating the given volumes, we get

3 \pi x^{3}=\frac{1}{3} \pi r^{2}h

r^{2} h =3 \times 3 x^{3}

r^{2} h =9 x^{3}

It is given that the height is 'x' units.

Therefore, r^{2} x =9 x^{3}

r^{2} =9 x^{2}

Therefore, r = 3x

So, the expression '3x' represents the radius of the cone's base in units.




Anvisha [2.4K]2 years ago
6 0

Answer: The volume given is 3Pi(x^3) and the radius is x. The formula for the volume of a cone is V= [1/3]Pi(r^2)*height => [1/3]Pi (r^2) x = 3Pi(x^3) => (r^2)x = 3*3(x^3) => (r^2)x = 9(x^3) => (r^2) = 9x^2 => r = sqrt[9x^2] = 3x.

So THE CORRECT Answer is: A) r = 3x

Step-by-step explanation: I just paid for this answer

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A digital clock displays military time in hh:mm format. Find the probability that the number made up of the first two digits on
Ksivusya [100]

Answer: zero

Step-by-step explanation:

Since, in the military clock 24 is the greatest number which has been made  up of the first two digits on the clock.

So, there is no number greater than 24  which has been made up of the first two digits on the clock.

The total number made up of the first two digits on the clock.=24

Therefore, the probability that the number made up of the first two digits on the clock is greater than 24 =\frac{\text{number greater than 24}}{\text{total numbers }}=\frac{0}{24}=0

Hence,  probability that the number made up of the first two digits on the clock is greater than 24  is zero.

7 0
2 years ago
Write 0.00658 in standard form
Svetllana [295]

Answer:

0.00658 = 6.58 * 10^-3

Step-by-step explanation:

The standard form is a way of writing numbers easily in powers of 10.

To write a number in standard form, we have to move the decimal point to the front of the first non zero number.

Depending on the position of the decimal point to the first non zero number, movement can be towards the right or towards the left. When we move towards the right, our power of 10 will be negative, when we move in the left direction, our power of 10 will be positive

In this question, we shall be moving towards the right. Thus, our power of 10 is negative. We shall be moving towards the right 3 three times

Thus our power would be 10^-3

Thus our standard form will be 6.58 * 10^-3

Kindly note that another pointer is, if the value of our number to be written in standard form is less than zero, then the standard form will come in negative powers of 10. If the value of the number is greater or equal to 1 at least, then then the standard form will be in positive powers of 10

5 0
2 years ago
12. Venu and Tanuj are running along a circular track. They take 48 seconds and 56 seconds to
brilliants [131]

Answer:

The meet at first time at starting point after 336 seconds,

Vanu have completed 7 laps while Tanuj has completed 6 laps.

Step-by-step explanation:

Given that Venu and Tanuj take 48 seconds and 56 seconds to

complete a lap respectively.

To meet them again at the startiong point, the  time taken must be multiple of 56 and 48.

So, the minimum time required to meet them again at the startiong point is time taken for first time meet.

Time taken to first time meet is the smallest number which can be divided by 56 and 48, i.e the lowest common factor (LCM) of 56 and 48 which is 336 seconds or 5 minutes 36 seconds.

Number of laps by Venu

=\frac{336}{48}=7

Number of laps by Tanuj

=\frac{336}{56}=6

8 0
2 years ago
The following histogram summarizes the number of points Nate has scored each game this season.
Tatiana [17]

Answer:D

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
22.Island A is 160 miles from island B. A ship captain travels 170 miles from island A and then finds that he is off course and
bixtya [17]

we know that

Applying the law of cosines: 


c² = a² + b² - 2abcos(C) 

where: 

a,b and c are sides of the triangle and C is the angle opposite side c 

let

a=170 mi

b=200 mi

c=160 mi

that is 

160² = 170² + 200² - 2(170)(200)cos(C) 


solve for C 


25,600 = 28,900 + 40,000 - 68,000cos(C) 

25,600 - 28,900 - 40,000 = -68,000cos(C) 

-43,300=-68,000cos (C)

cos (C)=0.6367

C=arc cos(0.6367)--------> C=50.45°


hence, 

he should turn in the direction of island b by

180 - 50.45 = 129.55 degrees


the answer is

129.55 degrees

6 0
2 years ago
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