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stich3 [128]
3 years ago
6

What is the approximate volume of a cone with a radius of 15 cm and a height of 4 cm? Round your answer to the nearest hundredth

and include units
Mathematics
1 answer:
vichka [17]3 years ago
6 0

Answer:

Volume of a cone =942.86cm^3

Step-by-step explanation:

Given that the radius of a cone is 15cm and its height is 4cm

That is r=15cm and h=4cm

To find the volume of a cone :

volume of a cone=\frac{\pi r^2h}{3} cubic units

Now substitute the values in the formula we get

volume of a cone=\frac{(\frac{22}{7}) (15)^2(4)}{3}  

=\frac{(\frac{22}{7}) (225)(4)}{3}

=\frac{19800}{21}

=942.857

Now round to nearest hundredth

=942.86

Therefore Volume of a cone=942.86cm^3

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Elliot is riding in 100 mile bike race to raise money for charity so far he has completed 7/10 of the race how far has Elliot bi
Dmitry_Shevchenko [17]

<u><em>Answer:</em></u>

Elliot biked 70 miles

<u><em>Explanation:</em></u>

We are given that the total distance of the race is 100 miles

We are also given that Elliot covered \frac{7}{10} of this distance

To get the number of miles covered by Elliot, we will simply multiply the ratio of the covered distance (\frac{7}{10}) by thetotal distance of the race (100 miles)

<u>This is done as follows:</u>

Distance covered = \frac{7}{10} * 100 = 70 miles

<u>Therefore,</u> Elliot biked for 70 miles

Hope this helps :)

4 0
3 years ago
A bag contains marbles of which 8 are blue; 5 are red; 3 are yellow, and 4 are orange. What is the probability of randomly drawi
Paha777 [63]
I think the answer is 12/20 or 3/5 because out of the 20 marbles you are drawing 4 orange and 8 blue and replacing it. So 8+4=12 and there are 20
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3 years ago
Help please !!!!!!!!!!
harkovskaia [24]

Answer:

[see below]

Step-by-step explanation:

Using the Pythagorean Theorem:

6^2+4.5^2=m^2\\\\36+20.25=m^2\\\\5\boxe6.25=m^2\\\\\boxed{m=7.5}

Hope this helps.

6 0
3 years ago
Read 2 more answers
What value of x makes this equation true? 0.6x − 5 = 0.1x + 7
Natali5045456 [20]

Answer: x=24

Step-by-step explanation:Simplifying

0.6x + -5 = 0.1x + 7

Reorder the terms:

-5 + 0.6x = 0.1x + 7

Reorder the terms:

-5 + 0.6x = 7 + 0.1x

Solving

-5 + 0.6x = 7 + 0.1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.1x' to each side of the equation.

-5 + 0.6x + -0.1x = 7 + 0.1x + -0.1x

Combine like terms: 0.6x + -0.1x = 0.5x

-5 + 0.5x = 7 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0

-5 + 0.5x = 7 + 0.0

-5 + 0.5x = 7

Add '5' to each side of the equation.

-5 + 5 + 0.5x = 7 + 5

Combine like terms: -5 + 5 = 0

0 + 0.5x = 7 + 5

0.5x = 7 + 5

Combine like terms: 7 + 5 = 12

0.5x = 12

Divide each side by '0.5'.

x = 24

Simplifying

x = 24

6 0
3 years ago
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vovangra [49]

Let the truck price be t.  Then:

$12000 ≤ t + $84 ≤ $15000.

Subtracting $84 from both sides, we get the price range:

$11916 ≤ t ≤ $14916

4 0
4 years ago
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