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Firdavs [7]
2 years ago
5

A hockey puck has a diameter of 7.6 cm and a height of 3.4 cm. What is the volume of a cylindrical package containing six pucks?

Express your answer to the nearest cubic centimeter.
Mathematics
1 answer:
alexandr402 [8]2 years ago
5 0

Answer:

924.96\ cm^3

Step-by-step explanation:

Given that,

The diameter of a hockey puck, d = 7.6 cm

Height, h = 3.4 cm

We need to find the volume of the volume of a cylindrical package containing six pucks.

Volume of 1 puck,

V=\pi r^2 h\\\\=3.14\times (3.8)^2\times 3.4\\\\=154.16\ cm^3

Volume of 6 pucks,

V=6\times 154.16\ cm^3\\\\=924.96\ cm^3

So, the volume of the 6 puck is 924.96\ cm^3.

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What is the length of the apothem of a regular hexagon with 10-cm sides?
vodka [1.7K]

Answer:

The length of apothem of given hexagon is 8.66 cm

Step-by-step explanation:

Apothem of a polygon is given by:

apothem = \frac{s}{2\ tan\ (\frac{180}{n})}

Here

s is length of side

tan is trigonometric function

and n denotes number of sides

Given that the polygon is a hexagon

s = 10cm\\n = 6

Putting the values in the formula

apothem = \frac{10}{2\ tan\ (\frac{180}{6})}\\= \frac{10}{2\ tan\ 30}\\=\frac{10}{2 * 0.5773}\\=\frac{10}{1.1546}\\=8.6610\\Rounding\ off\ to\ nearest\ hundredth\\= 8.66\ cm

Hence,

The length of apothem of given hexagon is 8.66 cm

6 0
3 years ago
Rewrite each fraction with a denominator of 10.<br> a<br> 7<br> - IN<br> 2<br> 3 <br> IN <br> 5
PolarNik [594]

Answer:

7/2 = 35/10

3/5 = 6/10

Step-by-step explanation:

To get a common denominator of 10, simply multiply the current denominator by any number to equal 10. The first fraction has a denominator of 2. If we divide 10 by 2, we get the answer 5. This means 2 can be multiplied by 5 to get a denominator of 10. However, what we do to the denominator we must also do to the numerator (multiply by 5).

7/2

7 × 5 / 2 × 5

35/10

3/5

3 × 2 / 5 × 2

6/10

brainliest pls

6 0
2 years ago
WILL GIVE BRAINLIEST HURRY PLEASE
ANTONII [103]

Answer:

10

Step-by-step explanation:

7 0
2 years ago
Janet has a square piece of cloth. She cuts 3 inches off of the length of the square and 3 inches off of the width. The area of
kolezko [41]
24
3+3=6
6×4=24
24 inches
8 0
3 years ago
Find an equation for the line with the given properties. Express your answer using the general form or the slope-intercept form
Damm [24]

Answer:

y=-3x+4

Step-by-step explanation:

To get the equation in the slope-intercept form first, put the equation in slope-point form using the information given. The slope-point form is y-(-2)=-3(x-2). Then solve for y.

Distribute -3 to (x-2),

y-(-2)=-3x+6

Then, add -2 to both sides,

y=-3x+4

This is your final answer; the slope is -3 and the y-intercept is 4. There are also a few other ways to solve but I find this the easiest.

3 0
3 years ago
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