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3 years ago

Complete the statements to find the product of 4 and 1/5

Mathematics

1 answer:

laila [671]3 years ago

8 0

Answer:

4/5

Step-by-step explanation:

This is because it is a fraction

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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

Brainliest for correct answer, any inapplicable answer or absurd answer will be deleted and reported.

tia_tia [17]

Answer:

35+70=105, 180-105=75 so the answer is c 75°

Step-by-step explanation:

7 0

3 years ago

У = х — 22<br> Perpendicular?

Romashka-Z-Leto [24]

Answer:

i got y=-x

Step-by-step explanation:

7 0

3 years ago

If the radius of a half-circle is 11...

Xelga [282]

By giving just the radius and asking for the arc length of that circle your answer will be without math is 22
π
feet

But;

Let’s do same math!

Arc length = (()/360)⋅2⋅⋅
(
(
a
n
g
l
e
o
f
a
r
c
)
/
360
)
⋅
2
⋅
π
⋅
r

In this case angle of arc was not specified so: 360∘
∘
was used.

Arc length = ((360)/360)⋅2⋅⋅11
(
(
360
)
/
360
)
⋅
2
⋅
π
⋅
11

Arc length = 22
π
feet

5 0

3 years ago

You don’t know how important this is Please help me!!

Natali5045456 [20]

Answer:

f(x)= $\frac{7}{5}$ x- $\frac{6}{5}$

Step-by-step explanation:

First put 7x-5y=6 into slope intercept form

y= $\frac{7}{5}$ x- $\frac{6}{5}$

Then put it into f(x) form

7 0

2 years ago