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2 years ago

What is the volume of a sphere with a radius of 9 inches

Mathematics

2 answers:

Effectus [21]2 years ago

7 0

Given the formula
V= $\frac{4}{3}$ πR³
so V= $\frac{4}{3}$ π9³=972π

Sveta_85 [38]2 years ago

7 0

Answer: 972π in.³

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

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

Notice that our sphere has a radius of 9 inches, so we can plug a 9 in for the radius in our formula.

Volume = $(\frac{4}{3}) (\pi)(9in.)^{3}$

Start by simplifying the exponent. (9 in.)³ is equal to 9 inches × 9 inches × 9 inches or 729 in.³.

Volume = $(\frac{4}{3})(729 in^{3})(\pi)$

Notice that we can cross cancel the 3 in 4/3 and 729 to 1 and 243.

Volume = (4) (243 in³) (π)

Volume = 972π in.³

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Ms. Lee wrote a test with 15 multiple choice short answer questions. The multiple choice questions x are worth 5 points and the

hram777 [196]

x + y = 15 and 5x + 10y = 100 are the system of equations that represent this situation

Solution:

Let "x" be the number of multiple choice questions

Let "y" be the number of short answer questions

Worth of 1 multiple choice questions = 5 points

Worth of 1 short answer question = 10 points

Ms. Lee wrote a test with 15 multiple choice short answer questions

Therefore,

number of multiple choice questions + number of short answer questions = 15

x + y = 15 -------- eqn 1

The maximum number of points possible on the test is 100

Therefore, we frame a equation as:

number of multiple choice questions x Worth of 1 multiple choice questions + number of short answer questions x Worth of 1 short answer question = 100

$x \times 5 + y \times 10=100$

5x + 10y = 100 ------- eqn 2

Thus eqn 1 and eqn 2 are the system of equations that represent this situation

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2 years ago

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telo118 [61]

Answer:

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Step-by-step explanation:

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3 years ago

C.J can shoot 36 shots in 3 minutes enter the number of shots C.J can shoot in 1 minute

Anna007 [38]

Answer:

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Step-by-step explanation:

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2 years ago

Is -28 greater than or less than -162

vivado [14]

Answer:

Any number which is on left side on the line number is less than the number which is on right hand side relative to that number.

As -28 is on the right hand side of the line number, and -162 is heading towards left hand side relative to -28.

Therefore, -28 is greater than -162.

Step-by-step explanation:

To determine:

Is -28 greater than or less than -162?

Solution Steps:

In mathematics, a number line is considered to be a straight line with numbers placed at equal intervals along its length.

A number line could be extended infinitely in any direction i..e -∞ to +∞.

A number is usually represented horizontally.

Any number which is on left side on the line number is less than the number which is on right hand side relative to that number.

As -28 is on the right hand side of the line number, and -162 is heading towards left hand side relative to -28.

Therefore, -28 is greater than -162.

In other words,

$-28>-162\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:\mathrm{True\:for\:all}\:x\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}$