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2 years ago

What is the volume of the cylinder below?

Mathematics

2 answers:

vekshin12 years ago

5 0

the answer is 252π option A

mash [69]2 years ago

4 0

For this case we have that the volume of the cylinder is given by:

$V = \pi * r ^ 2 * h$

Where:

h: It is the height of the cylinder

A: It is the radius of the cylinder

We have to, according to the given data:

$h = 7\\r = 6$

Substituting:

$V = \pi * (6) ^ 2 * 7\\V = \pi * 36 * 7\\V = 252 \pi$

ANswer:

Option A

$252 \pi \ units ^ 3$

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zloy xaker [14]

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3 years ago

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How many liters of soup will fit in this hemispherical pot <br> PlS help

m_a_m_a [10]

Answer:

3888pi cm^3 or 12214.5122372 cm^3

Step-by-step explanation:

To being, let's list out what we know

The volume of a sphere is

V = 4/3(pir^3)

But this is only half of a sphere, so the volume of it should be

V =2/3(pir^3)

With the diameter of the shape being

d = 36

We will first need to find the radius to use the formula above

r = d / 2

= 36 / 2

= 18

Now, let's start plugging in values

V = 2/3(pi18^3)

= 2/3 ( 5832pi)

= 3888pi or 12214.5122372

If you have any questions, please let me know in the comments section of this answer! If you could mark this answer as the brainliest, I would greatly appreciate it! :D

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2 years ago

Find the product.

4vir4ik [10]

Answer :

$6{y}^{4} {z}^{2} + 12 {y}^{3} {z}^{2}-3 {y}^{3} {z}+3 {y}^{2} {z}^{2}$

Step-by-step explanation :

To find the product of

$3 {y}^{2} z(2 {y}^{2} z + 4yz - y + z)$

First we expand the bracket ,

it implies that, we use the expression outside the bracket to multiply individual expressions inside the bracket.

Hence

$3 {y}^{2} z(2 {y}^{2} z + 4yz - y + z)$

$= 3 {y}^{2} z(2 {y}^{2} z) + 3 {y}^{2} z(4yz) - 3 {y}^{2} z(y )+3 {y}^{2} z( z)$

we now apply the law of indices

${a}^{m} \times {a}^{n} = {a}^{m+n}$

meaning, when you are multiplying two expressions with the same bases , repeat one of the bases and add the exponents.

Then, simplify to obtain

$= 6{y}^{4} {z}^{2} + 12 {y}^{3} {z}^{2}-3{y}^{3} {z}+3 {y}^{2} {z}^{2}$

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2 years ago