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MakcuM [25]
4 years ago
10

Find the volume o the sphere.

Mathematics
2 answers:
anygoal [31]4 years ago
8 0

Answer:

The volume of sphere is 267.95 units³.

Step-by-step explanation:

Given that the formula of volume of sphere is V = 4/3×π×r³ where r represents radius. Then, you have to substitute the values into the formula :

v =  \frac{4}{3}  \times \pi \times  {r}^{3}

let \: r = 4

v =  \frac{4}{3}  \times \pi \times  {4}^{3}

v =  \frac{4}{3}  \times \pi \times 64

v =  \frac{256}{3}  \times 3.14

v = 267.95 \:  {units}^{ 3}

Mandarinka [93]4 years ago
8 0
V=4/3πr^3
= 4/3 x π x 4^3
= 268.08
= 85.33 π
~ 300 units ^3
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Without plotting points, let M=(-2,-1), N=(3,1), M'= (0,2), and N'=(5, 4). Without using the distanceformula, show that segments
kramer

Given:

M=(x1, y1)=(-2,-1),

N=(x2, y2)=(3,1),

M'=(x3, y3)= (0,2),

N'=(x4, y4)=(5, 4).

We can prove MN and M'N' have the same length by proving that the points form the vertices of a parallelogram.

For a parallelogram, opposite sides are equal

If we prove that the quadrilateral MNN'M' forms a parallellogram, then MN and M'N' will be the oppposite sides. So, we can prove that MN=M'N'.

To prove MNN'M' is a parallelogram, we have to first prove that two pairs of opposite sides are parallel,

Slope of MN= Slope of M'N'.

Slope of MM'=NN'.

\begin{gathered} \text{Slope of MN=}\frac{y2-y1}{x2-x1} \\ =\frac{1-(-1)}{3-(-2)} \\ =\frac{2}{5} \\ \text{Slope of M'N'=}\frac{y4-y3}{x4-x3} \\ =\frac{4-2}{5-0} \\ =\frac{2}{5} \end{gathered}

Hence, slope of MN=Slope of M'N' and therefore, MN parallel to M'N'

\begin{gathered} \text{Slope of MM'=}\frac{y3-y1}{x3-x1} \\ =\frac{4-(-1)}{5-(-2)} \\ =\frac{3}{2} \\ \text{Slope of NN'=}\frac{y4-y2}{x4-x2} \\ =\frac{4-1}{5-3} \\ =\frac{3}{2} \end{gathered}

Hence, slope of MM'=Slope of NN' nd therefore, MM' parallel to NN'.

Since both pairs of opposite sides of MNN'M' are parallel, MM'N'N is a parallelogram.

Since the opposite sides are of equal length in a parallelogram, it is proved that segments MN and M'N' have the same length.

7 0
1 year ago
Using the image shown, name the reflection of B over the horizontal mirror line shown.
zubka84 [21]
The answer to your question is the letter G.
8 0
3 years ago
Please hurry with this question
Nostrana [21]

Answer:

B

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
495x43
Mashcka [7]

Answer:a) $5.64  b)  21 ounces of tea leaves

Step-by-step explanation:

Step 1

5 ounces of tea leaves can be bought with  $2.35

1 ounce of tea can be bought with =$2.35/5 =$0.47

12 ounces at the same rate  can be bought with

=12 x $0.47 = $5.64

b) 5 ounces of tea leaves can be bought with  $2.35

? Ounces of tea leaves can be bought with $10

$2.35 =5 ounces of tea

$10 = ? ounces of tea

           = (10 x  5)/2.35

           =50/2.35

=21.27 rrounded to 21 ounces of tea leaves

5 0
3 years ago
Find the area of a circle with a diameter of 8 cm. Use 3.24 for n. Round your answer to the nearest hundredth
Volgvan

Answer:

half of 8 is 4

so 4 is your radius

4^4 = 16

16 x 3.14 = 50.24 in2 is your area.

7 0
3 years ago
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