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Aleks [24]
3 years ago
9

A sphere has a radius of 3 centimeters what is the volume of the sphere ????

Mathematics
2 answers:
german3 years ago
8 0

The answer is provided in the image attached.

insens350 [35]3 years ago
3 0

Answer:

A  36\pi cm^{3}

Step-by-step explanation:

The formula for the volume of a sphere is \frac{4}{3}\pi r^{3}. Because we are given the radius, 3 (centimeters), of the sphere, all we would need to do is plug 3 in for r, and solve.

\frac{4}{3}\pi (3)^{3}

Using the order of operations (Parentheses, Exponents), we can solve for (3)^{3}, which is 27 (think 3*3*3).

Then, we simply Multiply (\frac{4}{3})(\pi)(27), to get 36\pi.

With our unit, centimeters cubed (cm^{3}), our sphere's volume is 36\pi cm^{3}.

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Use slopes and y-intercepts to determine if the lines y=−2/3x+2 and −3x+2y=−4 are parallel.
EleoNora [17]

Answer:

the answer is no

Step-by-step explanation:

y = -2/3x+2

2y = 3y-4

y = 3/2y-2

but here's a comment: it is perpendicular because it is it's opposite reciprocol

8 0
2 years ago
You go to the Redbox to get 10 rentals for the weekend. Movies rent for $4 and video
Artemon [7]
Hi I am sorry if i give you the wrong answer but I think it's three games and 2 movies because 6 times 3 = 18 then 4 times 2 = 8 and 18 + 8 = 26 :)
8 0
2 years ago
Read 2 more answers
Which set of values could be the sides lengths of a 30-60-90 triangle
Maslowich
Hello,

Let's assume a the hypotenuse

b/a=sin 30°==>b=a/2

c/a=cos 30°==>c=√3 / 2 *a

(√3/2 a, a/2,a) are the sides of the triangle.


7 0
3 years ago
A standard doorway measures 6 feet 8 inches by 3 feet. What is the largest dimension that will fit through the doorway without b
nikdorinn [45]

Answer:

87.73 inches

Step-by-step explanation:

We are given that the dimensions of the rectangular doorway are,

Length = 6 ft 8 inches = 80 inches and Width = 3 feet = 36 inches.

Using Pythagoras Theorem, we will find the diagonal of the rectangular doorway.

i.e. hypotenuse^{2}=length^{2}+width^{2}

i.e. hypotenuse^{2}=80^{2}+36^{2}

i.e. hypotenuse^{2}=6400+1296

i.e. hypotenuse^{2}=7696

i.e. Hypotenuse = ±87.73 inches

Since, the length cannot be negative.

So, the length of the diagonal is 87.73 inches.

As, the largest side of a rectangle is represented by the diagonal.

So, the largest dimension that will fit through the doorway without bending is 87.73 inches.

7 0
3 years ago
Use the sample data and confidence level to construct the confidence interval estimate of the population proportion p. n=500, x=
DiKsa [7]

Answer:

0.3581<x<0.4429

Step-by-step explanation:

Using the formula for calculating the confidence interval of the population proportion p expressed as:

Confidence interval = p ± Z * √p(1-p)/n

p is the population proportion = x/n

p = 200/500

p = 0.4

Z is the z-score at 95% CI = 1.96

n is the sample size = 500

Substituting the given parameters into the formula we will have;

Confidence interval = 0.4 ± 1.96 * √p(1-p)/n

Confidence interval = 0.4 ± 1.96 * √0.4(0.6)/500

Confidence interval = 0.4 ± 1.96 * √0.24/500

Confidence interval = 0.4 ± 1.96 * √0.00048

Confidence interval = 0.4 ± 1.96 * 0.0219

Confidence interval = 0.4±0.04294

Confidence interval = (0.3571, 0.4429)

Hence the confidence interval of the population mean is 0.3581<x<0.4429

5 0
3 years ago
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