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Fantom [35]
3 years ago
10

What is the volume of a sphere having a radius of 6 in.

Mathematics
2 answers:
Blababa [14]3 years ago
5 0

Answer:

V≈904.78in³

Step-by-step explanation:

Viefleur [7K]3 years ago
5 0

Answer:

904.32

Step-by-step explanation:

To solve a volume of sphere problem with a radius of six, we'll have to use the formula for the volume of a sphere, which is: 4/3 πr^3.  

Step 1: 6 to the power of 3.  This gives you 216.

Step 2: 216 times pi.  This gives you 678.24.

Step 3: 678.24 x 4/3.  In the end, this should give you 904.32.

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Identify the coefficient of 17xy3z12
expeople1 [14]

Answer: Coeffcient is 17

Explaination:-

Given expression is :

17xy³z¹²

To find the coefficient of given expression

In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression.

For example : In 2x⁵

Coeffcient is 2

Now come to the question:

Coeffcient is 17.

8 0
3 years ago
Which statement is modeled by the expression?
Afina-wow [57]
A librarian has 150 books to be placed on shelves with an equal number of books on each shelf. If k is the number of shelves to be used, then 150/k is the number of books on each shelf.

Example : lets say there are 10 shelves.....so k = 10
150/10 = 15 books on each shelf.
4 0
2 years ago
Read 2 more answers
2. The ratio of radii of two cylinders is 1:2 and heights are in the ratio 2:3. Find the ratio of their volumes.
Savatey [412]

Answer: \frac{1}{6} or 1:6

Step-by-step explanation:

The volume of a cylinder can be found with the following formula:

V=\pi r^2h

Where "r" is the radius and "h" is the height of the cylinder.

In this case, let be:

- V_1 the volume of one of this cylinders and V_2 the volume of the other one.

- r_1 the radius of the first one and r_2 the radius of the other cylinder.

- h_1 the height of one of them and h_2 the height of the other cylinder.

Then:

V_1=\pi r_1^2h_1\\\\V_2=\pi r_2^2h_2

Therefore, you know this:

\frac{V_1}{V_2} =\frac{\pi r_1^2h_1}{\pi r_2^2h_2}

Simplifying, you get:

\frac{V_1}{V_2} =\frac{ r_1^2h_1}{ r_2^2h_2}

Now, knowing the ratios given in the exercise, you can substitute them into the equation:

\frac{V_1}{V_2} =\frac{1^2*2}{ 2^2*3}

Evaluating, you get:

\frac{V_1}{V_2} =\frac{2}{ 4*3}\\\\\frac{V_1}{V_2} =\frac{2}{12}\\\\\frac{V_1}{V_2} =\frac{1}{6}

4 0
3 years ago
How do you factor the sum of 2 squares?
Kazeer [188]
<span>If two terms in a binomial are perfect squares separated by subtraction, then you canfactor them. To factor the difference of two perfect squares, remember this rule: if subtraction separates two squared terms, then the sum and the difference of the twosquare roots factor the binomial.</span>
6 0
3 years ago
What is the product of the two integer values for $x$ for which $|x^2 - 16|$ is a prime number?
Nana76 [90]

Answer:

-9

Step-by-step explanation:

x² -16 = (x -4)(x +4)

This magnitude of this product can only be prime if one of the factors is ±1. Any other integer value of x will produce a composite number (or zero).

... For x-4 = ±1, x = 3 or 5

... For x+4 = ±1, x = -3 or -5

The values of x that are ±3 both give |x²-16| = 7, a prime.

The values of x that are ±5 both give |x²-16| = 9, not a prime.

The two values of x that are of interest are x=-3 and x=3. Their product is ...

... (-3)·(3) = -9

8 0
3 years ago
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