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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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Cloud nine is having a sale on all shirts and pants in the store.Olivia purchased 8 shirts 4 pairs of pants for $176.Raheem purc
mihalych1998 [28]

Question is Incomplete; Complete question is given below;

Cloud Nine is having a sale on all shirts and pants in the store. Olivia purchased 8 shirts and 4 pairs of pants for $176. Raheem purchased 3 shirts and 4 pairs of pants for $116. Let x represent the price of a shirt and y represent the price of a pair of pants. Write a system of equations, and use the elimination method to find a reasonable price for a pair of pants.

Answer:

The system of equations are \left \{ {{8x+4y=176} \atop {3x+4y=116}} \right.

The reasonable price for pair of pants is $20.

Step-by-step explanation:

Let the price of shirt be 'x'.

Let price of pair of pants be 'y'.

Given:

Olivia purchased 8 shirts 4 pairs of pants for $176

So we can say that;

8 multiplied by the price of shirt plus 4 multiplied by the price of pair of  pants is equal to 176.

framing in equation form we get;

8x+4y=176 \ \ \ \ equation \ 1

Also Given:

Raheem purchased 3 shirts and 4 pairs of pants for 116.

So we can say that;

3 multiplied by the price of shirt plus 4 multiplied by the price of pair of pants is equal to 116.

framing in equation form we get;

3x+4y=116 \ \ \ \ equation \ 2

Hence the system of equation are \left \{ {{8x+4y=176} \atop {3x+4y=116}} \right.

Now by using elimination method we will subtract equation 2 from equation 1 we get;

(8x+4y)-(3x+4y)=176-116\\\\8x+4y-3x-4y = 60\\\\5x =60\\\\x=\frac{60}{5}=\$12

Now Substituting the value of x in equation 1 we get;

8x+4y=176\\\\8\times 12+4y =176\\\\96+4y=176\\\\4y =176-96\\\\4y = 80\\\\y= \frac{80}{4} =\$ 20

Hence The reasonable price for pair of pants is $20.

4 0
3 years ago
Complete the following statements using m(x) = x² and n(x) = x – 3.
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Answer: x-3, 3, is not equal to

Step-by-step explanation:

7 0
3 years ago
After the fraction x plus 1 all over 2 minus the fraction x plus 2 all over 3 x have been combined using the least common denomi
RoseWind [281]

If I've read this correctly, it looks like this.

\dfrac{(x + 1)}{2 - \dfrac{(x + 2)}{3x}}

If that is correct, then the first step is to put the top part of the denominator over 3x

\dfrac{(x + 1)}{\dfrac{6x - (x + 2)}{3x}} = \dfrac{(x + 1)}{\dfrac{5x -2}{3x}}

The next part is to flip a three tier fraction. I'm afraid I have to show what happens. My latex is not that strong.

What you get is

\dfrac{3x*(x + 1)}{(5x - 2)}

This is just about your final answer. You could write it as

\dfrac{3x^2 + 3x}{(5x - 2)}

6 0
3 years ago
If the turning point is lower than the nearby point it's called a
ozzi

Answer:

Step-by-step explanation:

Local minimum. It would be the minimum value of the function not including the end points. If you are including the end points, its an absolute minimum

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3 years ago
A toy train car is 6 in. long. If a real train car is 75 ft long, which of the following have the same constant of proportionali
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Answer:

use this

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