All categories

2 years ago

A solid cylinder has a radius of 2 cm and a height of 7 cm. It has a density of 3.1 grams

Mathematics

1 answer:

timurjin [86]2 years ago

5 0

Answer:

Step-by-step explanation:

The first thing you need to do is find the volume.

r = 2cm

h = 7 cm

pi = 3.14

V = pi*r^2 *h

V = 3.14 * 2^2 * 7

V = 3.14 * 4 * 7

V = 87.92 cm^3

Next find the mass using the density formula

Density = mass / volume

Density = 3.1 grams / cm^3

Volume = 87.92 cm^3

3.1 = m / 87.92 Multiply both sides by 87.92

3.1 * 87.92 = m

m = 272.55

Note:

Technically There should be no decimal places. 3.1 is only 2 significant digits. The answer should be 270 grams.

You might be interested in

A red kangaroo hops at an average speed of 20km per hour. How fast is this in meters per minute?

masya89 [10]

Answer:

333.3 meters per minute

Step-by-step explanation:

The best way to solve this problem is using dimensional anaysis. First, we write out our starting units, that being 20km/1hr. We have to keep in mind that we want to change the kilometers to meters and the hours to minutes.

$\frac{20km}{1hr}$

We know that there are 1000 meters in 1 kilometer. We add this to the dimensional analysis as 1000m/1km. We write it as this because we want the kilometers to cancel each other out. We only want the meters.

$= \frac{20km}{1hr} *\frac{1000m}{1km} ...$

We also know that 1 hour is 60 minutes. We add this to the analysis as well so that the hours cancel each other.

$= \frac{20km}{1hr} *\frac{1000m}{1km} * \frac{1hr}{60min}$

We now solve this expression. Since both the kilometers and the hours cancel out, we have meters per minute as our unit. All that's left are the numbers.

= (20*1000*1)/(1*1*60) m/min

= 333.3 meters per minute

8 0

2 years ago

-35x+85x-4=26 what is x

Kisachek [45]

X=3/5 just add 4 to 26 then combine -35x and 85x to get 50x then divide both sides by 50 and simplify

6 0

2 years ago

Read 2 more answers

You need to find the volume of the plastic sphere that holds the gum in your gumball machine. If the diameter is 2 feet, what is

soldier1979 [14.2K]

For this case we have that by definition, the volume of a sphere is given by:

$V = \frac {4} {3} * \pi * r ^ 3$

Where:

r: It is the radius of the sphere

According to the statement we have to:

$r = \frac {2} {2} = 1 \ft$

So the volume is:

$V = \frac {4} {3} * \pi * (1) ^ 3\\V = \frac {4} {3} * 3.14\\V = 4.186$

Rounding we have that the volume of the sphere is: $4.19 \ ft ^ 3$

Answer:

Option B

4 0

2 years ago

Read 2 more answers

What type of triangle is formed by joining the points D(7, 3), E(8, 1), and F(4, -1)?

attashe74 [19]

$D(7,3) \\
E(8,1) \\
F(4,-1)$

The lengths of the sides of the triangle:
$\overline{DE}=\sqrt{(8-7)^2+(1-3)^2}=\sqrt{1^2+(-2)^2}=\sqrt{1+4}=\sqrt{5} \\ \\
\overline{DF}=\sqrt{(4-7)^2+(-1-3)^2}=\sqrt{(-3)^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5 \\ \\
\overline{EF}=\sqrt{(4-8)^2+(-1-1)^2}=\sqrt{(-4)^2+(-2)^2}=\sqrt{16+4}=\sqrt{20}= \\
=\sqrt{4 \times 5}=2\sqrt{5}$

No sides are equal to each other, so it's a scalene triangle.

Check if the sides satisfy the Pythagorean theorem:
$(\sqrt{5})^2 + (2\sqrt{5})^2=5^2 \\
5+20=25 \\
25=25 \\
true$
They do, so it's a right triangle.

The triangle is a right scalene triangle.

7 0

2 years ago

Read 2 more answers

One of the roots of the equation x^2−6x+q=0 is 4.5. Find the other root and the value of the coefficient q.

andre [41]

Answer:

Step-by-step explanation:

hello : here is an solution

3 0

2 years ago

Read 2 more answers