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3 years ago

10

A rectangular room measures 14 feet by 10 feet. Find the cost of installing a strip of wallpaper around the room if the wallpape

r costs $0.72 per foot.

1 answer:

umka2103 [35]3 years ago

6 0

Answer:

Step-by-step explanation:

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The radius of the large sphere is double the radius of the small sphere. How many times does the volume of the large sphere than

pshichka [43]

Answer:

8 times larger.

Step-by-step explanation:

The radius of the large sphere is double the radius of the small sphere.

Question asked:

How many times does the volume of the large sphere than the small sphere

Solution:

<u>Let radius of the small sphere = </u> $x$ <u />

<u>As the radius of the large sphere is double the radius of the small sphere:</u>

Then, radius of the large sphere = $2x$

To find that how many times is the volume of the large sphere than the small sphere, we will <em><u>divide the volume of large sphere by volume of small sphere:-</u></em>

For smaller sphere: $Radius = x$

$Volume \ of \ sphere = \frac{4}{3} \pi r^{3}$

$=\frac{4}{3} \pi x^{3}$

For larger sphere: $Radius = 2x$

$Volume \ of \ sphere = \frac{4}{3} \pi r^{3}$

$=\frac{4}{3} \pi (2x)^{3}$

Now, we will divide volume of the larger by the smaller one:

$=\frac{4}{3} \pi (2x)^{3}\div\frac{4}{3} \times\frac{\pi }{1 } \times x^{3}\\ \\ =\frac{4}{3} \pi\times8x^{3} \times\frac{3}{4\pi }\ \times\frac{1}{x^{3} }$

$\frac{4}{3}\pi\ is \ canceled\ by\ \frac{3}{4\pi } \ and\ also\ x^{3} is\ canceled\ by \ \frac{1}{x^{3} }$

<u>Now, we have</u>

= $\frac{8}{1}$

Therefore, the volume of the large sphere is 8 times larger than the smaller sphere.

7 0

3 years ago

Read 2 more answers

What is the perimeter and area of a 5 x 5 square?

JulsSmile [24]

Perimeter is 20 and the area is 25

5 0

3 years ago

Which of the following fractions is equivalent to 0.45? 4/5 2/5 9/20 9/200

exis [7]

45/100
Simplify the fraction by diving by the largest possible factor
45 divided by 5 = 9
100 divided by 5 = 20
9/20
9/20 = 0.45

4 0

3 years ago

Classify the system of equations.

7nadin3 [17]

These two lines are parallel
You can use desmos

6 0

2 years ago

Can you please help me do find a resolution for these equations

rusak2 [61]

Answer:

x=-5

Step-by-step explanation:

I did a for #42

2(x-5)=3x+5

simplify

2x-10=3x+5

subtract 2x from both sides

-10=3x+5

subtract 5 from both sides

-15=3x

divide both sides by 3

-5=x

6 0

3 years ago