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3 years ago

What is the volume of the cylinder?

Mathematics

1 answer:

Vlada [557]3 years ago

6 0

Volume= pi times radius squared times height.
So the diameter is 16, if you divide by 2 you'll get the radius. 16/2=8
So the answer is 3.14x8^2x10
8 squared is 64
So 3.14x64x10 = 2,010.62
Answer is C

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The carousel at a local theme park has a diameter of 32 feet. each ride last three minutes and the speed of the carousel is 4.3

Liula [17]

Answer:

1297.37 feet.

Step-by-step explanation:

Given:

The carousel at a local theme park has a diameter of 32 feet.

Each ride last three minutes and the speed of the carousel is 4.3 revolutions per minute.

Question asked:

What is the maximum distance riders travel in one full ride? Round to the nearest hundredth.

Solution:

First of all we will find the radius of the carousel:-

Diameter = 32 feet

Radius, r = $\frac{Diameter}{2} =\frac{32}{2} =16\ feet$

Now, we will find distance covered by the carousel in one ride that means its circumference;

$Circumference\ of \ the \ circle=2\pi r$

$=2\times\frac{22}{7} \times16\\ \\ =\frac{704}{7} \\ \\ =100.571\ feet$

In 1 minute, number of revolution taken by carousel = 4.3

As each ride last for 3 minutes:-

In 3 minutes, number of revolution taken by carousel = 3 $\times$ 4.3 = 12.9

In 1 revolution, distance covered by carousel = 100.571 feet

In 12.9 revolution, distance covered by carousel = 100.571 $\times$ 12.9

= 1297.365 feet

Thus, the maximum distance riders travel in one full ride is 1297.37 feet.

7 0

3 years ago

If you multiply 2/3 * 6/10, would the product be more than 6/10 or less than 6/10?

Gwar [14]

Answer:

Less than.

Step-by-step explanation:

I have included the explanation in bullet points so it is easier to understand.

We don't even need to solve the problem in order to find out.

We know that any number times one is itself
We know that any number times less than one would be less than itself.
In order to get a product more than 6/10 we would need to multiply it by something more than 1.
2/3 is not more than one, which means the product would be less than 6/10

Hope this helps!

--Appleπ101

4 0

3 years ago

Find the product. 1.5m6(-2m2)4

Pani-rosa [81]

Step 1 :

Equation at the end of step 1 :

((——•(m6))•(0-2m2))•4

Step 2 :

Simplify —

Equation at the end of step 2 :

((— • m6) • -2m2) • 4

Step 3 :

Equation at the end of step 3 :

3m6

(——— • -2m2) • 4

Step 4 :

Multiplying exponential expressions :

4.1 m6 multiplied by m2 = m(6 + 2) = m8

Canceling Out :

4.2 Canceling out 2 as it appears on both sides of the fraction line

Equation at the end of step 4 :

-3m8 • 4

Step 5 :

Final result :

-12m8

6 0

3 years ago

Read 2 more answers

Please help pre algebra it’s super hard

Rzqust [24]

Answer:

a reflection and then a translation

a translation and then a rotation

a rotation and then a reflection

Hope this helps

7 0

3 years ago

Please help me i dont understand it

omeli [17]

Answer:

Step-by-step explanation:

Its B I think Here go your answer.

6 0

3 years ago

Read 2 more answers