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2 years ago

I need help finding the weather it is continuity or not

Mathematics

1 answer:

Black_prince [1.1K]2 years ago

6 0

Answer:

it is discontinuety bcz at 1,4 and 6 it is discontinued

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A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.

Goshia [24]

Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder = $21m^3$

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

<em>Using the volume formula of a cylinder</em>

The formula goes thus

$V = \pi r^2h$

Substitute 21 for V; this gives

$21 = \pi r^2h$

Divide both sides by h

$\frac{21}{h} = \frac{\pi r^2h}{h}$

$\frac{21}{h} = \pi r^2$

The next step is to solve for the volume of the sphere using the following formula;

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

Divide both sides by r

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

Expand Expression

$\frac{V}{r} = \frac{4}{3}\pi r^2$

Substitute $\frac{21}{h} = \pi r^2$

$\frac{V}{r} = \frac{4}{3} * \frac{21}{h}$

$\frac{V}{r} = \frac{84}{3h}$

$\frac{V}{r} = \frac{28}{h}$

Multiply both sided by r

$r * \frac{V}{r} = \frac{28}{h} * r$

$V = \frac{28r}{h}$ ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

$h = D$ , where D represents diameter of the sphere

Recall that $D = 2r$

So, $h = D = 2r$

$h = 2r$

Substitute 2r for h in equation 1

$V = \frac{28r}{2r}$

$V = \frac{28}{2}$

$V = 14$

Hence, the volume of the sphere is 14m³

4 0

3 years ago

Read 2 more answers

PLEASE HELPPPPPPPPPPPPPPPPPPPPP

astra-53 [7]

Answer:

348

Step-by-step explanation:

Length-l

Width-w

Height-h

A=2(wl+hl+hw)=2·(8·9+6·9+6·8)=348

3 0

2 years ago

Which factor does the width of the peak of a normal curve depend on?

Aleks [24]

<span>The normal curve is described by a bell curved graph. The bell curved graph of a normal distribution depends on two factors: the mean and the standard deviation. The mean identifies the position of the center and the standard deviation determines the height and width of the bell. Therefore, the factor that the width of the peak of the normal curve depends on is the standard deviation.</span>

4 0

2 years ago

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Tests show that the hydrogen ion concentration of a sample of apple juice is 0.0003 and that of ammonia is 3.1 x 10^-9. Find the

scoundrel [369]

PH can be calculated using the following equation
pH = -log [H₃O⁺]
for apple juice the hydronium /hydrogen ion concentration is 0.0003
pH = -log (0.0003)
pH = 3.5
correct answer is C

For ammonia
pH = -log (3.1 x 10⁻⁹)
pH = 8.5
answer should be 8.5

5 0

2 years ago

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Solve this plz

frozen [14]

A) 9(x + 4) = 27

9x + 36 = 27

9x = 27 - 36

9x = -9

x = -9 ÷ 9

x = -1

B) x/3 - 5 = 6

x/3 = 6 + 5

x/3 = 11

x = 11 × 3

x = 33

C) 15 + 3 ( x -7 ) = -30

15 + 3x - 21 = -30

3x + 15 - 21 = -30

3x - 6 = -30

3x = -30 + 6

3x = -24

x = -24 ÷ 3

x = -8

5 0

2 years ago

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