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stiv31 [10]
3 years ago
7

the radius of a sphere is 3 inches. which represents the volume of the sphere? 12π cubic inches 36π cubic inches 64π cubic inche

s 81π cubic inche
Mathematics
2 answers:
nevsk [136]3 years ago
7 0

Answer:

B. 36

Step-by-step explanation:


liraira [26]3 years ago
3 0

Keywords:

<em>Volume, sphere, radio </em>

For this case we must find the volume of a sphere, which has a radius of 3 inches. To do this, we must bear in mind that, by definition, the volume of a sphere is given by:

V = \frac {4} {3} * \pi * r ^ 3, where "r" represents the radius of the sphere.

So, substituting, we have:

V = \frac {4} {3} * \pi * 3 ^ 3\\V = \frac {4} {3} * \pi * 27\\V = 36\pi

Thus, the volume of the sphere is 36\pi cubic inches

Answer:

The volume of the sphere is 36\picubic inches

Option B

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The value of y is directly proportional to the value of x. If y = 35 when x = 140, what is the value of y when x = 70?
gtnhenbr [62]

Answer:

17.5

Step-by-step explanation:

y=kx

35 = k(140)

k = 0.25

(k is constant of proportionality)

y = (0.25)(70)

y=17.5

6 0
3 years ago
How do you measure the diameter of four steel rods and than compare the measurement? Thank you!
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The answer is B. 0.25 inch. Lets multiply all of them by the same factor. Since A. and B. have 3 decimals, lets divide all numbers by 1000: A. 0.026 * 1000 = 26, B. 0.25 * 1000 = 250, C. 0.24 * 1000 = 240, D. 0.025 * 1000 = 25. So, by comparing the whole numbers, it can be concluded that the biggest steel rod is B. 0.25 inch.
7 0
3 years ago
Please help on this question​
Paul [167]

Answer:

  • 6912xy^8

Step-by-step explanation:

The 9th term is the next-to-last term, where the left term of the binomial is raised to the first power, the right term of the binomial is raised to the 8th power (9-1=8), and the multiplier is 9C8 = 9!/(8!·1!) = 9. This product is ...

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3 years ago
A parabola can be drawn given a focus of (-4, -7)(−4,−7) and a directrix of y=-3y=−3. What can be said about the parabola?
Natali5045456 [20]

Answer:

Vertex = (-4,-5)

P-value = -2

Opens Downward

Step-by-step explanation:

Given:

  • Focus = (-4,-7)
  • Directrix = -3

Since focus is less than directrix, the parabola obviously opens downward.

To find vertex (h,k), for downward parabola, focus is (h, k + p) and directrix is y = k - p

We have:

\displaystyle \large{k+p=-7 \to (1)}\\\displaystyle \large{k-p=-3 \to (2)}

First equation being focus and second being directrix, solve the simultaneous equation:

\displaystyle \large{2k=-10}\\\displaystyle \large{k=-5}

Substitute k = -5 in any equation - I’ll choose (1) for this:

\displaystyle \large{-5+p=-7}\\\displaystyle \large{p=-2}

Therefore vertex is at (h,k) = (-4,-5) with p-value being -2 since p < 0 then the parabola opens downward.

Attachment added for visual reference

7 0
2 years ago
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