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3 years ago

What is the volume of a sphere with a radius of 18 units?

Mathematics

2 answers:

liraira [26]3 years ago

6 0

24429.02 is the volume of a sphere with a radius of 18 units.

kupik [55]3 years ago

3 0

Answer: $7776$ $\pi units^{3}$

Step-by-step explanation: To find the volume of a sphere, start with the formula for the volume of sphere.

Volume = $\frac{4}{3} \pi r^{3}$

Notice that our sphere has a radius of 18 units, so we can plug 18 into the formula.

Volume = $(\frac{4}{3}\))\pi(18units^{3})$

Now, let's start by simplifying the exponent. $18^{3}$ is equal to 18 units x 18 units x 18 units or 5,832 units³.

Volume = $(\frac{4}{3}) (5,832 units^{3}) (\pi)$

Notice that we can cross cancel 3 in $\frac{4}{3}$ and 5,832 to 1 and 1,944.

Volume = $(4) (1,944 units^{3})(\pi)$

Volume = $7776$ $\pi units^{3}$

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Toko follows a budget to buy supplies to paint his room. He spends 1/2 of his budget on a roller, a tray, and tape. He spends $1

Natasha_Volkova [10]

The answer is $36.

B - budget
So the calculation is as following:
$B= \frac{1}{2}B + 12.27 + \frac{3.82}{ \frac{2}{3} } = \frac{1}{2}B + 12.27 + \frac{3.82*3}{2}= \frac{1}{2}B + 12.27 +5.73$
$B= \frac{1}{2} B + 18$
$B- \frac{1}{2}B = 18$
$\frac{1}{2}B = 18$
$B = 18*2=36$

3 0

3 years ago

One number is 8 greater than another. The product of the numbers is 84. Find the numbers.

mario62 [17]

Let x,y be the two numbers.

Given that one number is 8 greater than another.

Let x be the smaller number ans y be the greater number.

That is y=x+8. Let this be the first equation.

And also given that product of the two numbers is 84.

That is x × y = 84, let us plugin y=x+8 here.

x × (x+8) = 84

x²+ 8x -84 = 0.

x²+12x-4x-84 = 0

x(x+12)-4(x+12) =0

(x-4)(x+12)=0

That is x= 4 or -12.

Hence two positive numbers corresponding to given conditions are 4,12.

And two negative numbers corresponding to given conditions are -12,-4.

Step-by-step explanation:

hope it may help you!!

please mark as brainlist please (´;︵;`)

5 0

3 years ago

Why don't we measure spread about the mean by simply averaging x − x , the deviations of individual data values from their mean?

skad [1K]

Answer:

Because this spread will add up to zero

Step-by-step explanation:

Mean defines the center of the data. Some values are below this center and some values are above this center.

For the values which are below the center (i.e. less than the mean), when mean is subtracted from these values, this results in negative numbers.

For the values which are above the center(i.e. greater than the mean), when mean is subtracted from these values, this results in positive numbers.

When these negative and positive numbers are summed together, as it is, they cancel out each other, leaving an answer equal to zero, which would be meaningless. As a spread of 0 would mean all data values are the same, when infact they aren't.

To avoid this, the difference of mean from the data value is squared, so that we can get all positive values, and then these values are added up together to calculate the spread of the data.

Conclusion:

The average of deviations of individual data from the mean will result in answer equal to zero, as a result they are squared first before finding the average.

7 0

3 years ago

Eva reads 12 pages per hour. In all, how many hours reading will Eva have to do this week in order to have read a total of 48 pa

KiRa [710]

Since eva is a slow reader pacing at 12 pages an hour, she would have to read for 4 hours over the week in order to read 48 pages total.

12x4=48

8 0

3 years ago

X to the power of 3=64?

dangina [55]

Answer:

Step-by-step explanation:

x^3 = 64

4^3 = 64

4×4×4 = 64

Thus, the value of x is 4

3 0

3 years ago