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7nadin3 [17]
2 years ago
15

A pile of sand in the shape of a cone has a diameter of 8 in. and a height of 5 in.

Mathematics
1 answer:
max2010maxim [7]2 years ago
8 0

if it has a diameter of 8, that means its radius is half that, or 4.


\bf \textit{volume of a cone}\\\\
V=\cfrac{\pi r^2 h}{3}~~
\begin{cases}
r=radius\\
h=height\\[-0.5em]
\hrulefill\\
r=4\\
h=5
\end{cases}\implies V=\cfrac{\pi (4)^2(5)}{3}\implies V=\cfrac{80\pi }{3}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
~\hfill \stackrel{using~\pi =3.14}{V= 83.7\overline{3}}~\hfill

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The density of salt is 80 pounds per cubic foot (lb/ft3). 1 pound (lb) is approximately 0.4536 kilogram (kg). 1 cubic foot (ft3)
Leto [7]

Answer: Density = 1,282.26 kg/m^3

Step-by-step explanation:

Density =  80 lb/ft^3

We know that:

1lb = 0.4536 kg.

1ft^3 = 0.0283 m^3

then we can write:

1 = (0.4536kg)/(0.0283 m^3)*(1ft^3/lb)

we can multiply our equation by this, and it wont be affected, then we have:

Density = 80 lb/ft^3 = 80 lb/ft^3 (0.4536kg)/(0.0283 m^3)*(1ft^3/lb)

Density = 1,282.26 kg/m^3

6 0
3 years ago
the larger triangle is a dilation of the smaller triangle with a center of dilation at (2,-1). Whatbis the scale factor of the d
leva [86]
I think it’s 2. You can see this because if you count the squares in the smaller triangle it is 3 along. You would then need to double the amount of squares on all sides. This makes the larger triangle now 6 squares along. 6/3 is 2 making the scale factor 2. (This is only if I have read the question correctly and we are calculating small to big. If I have read it wrong and it is big to small it would be 1/2)
5 0
3 years ago
A semicircle has a diameter of 17.6 cm.
Ray Of Light [21]

Answer:

B. 45.23 cm

Step-by-step explanation:

perimeter of the figure

=\frac{1}{2}\pi d+d

=\frac{1}{2}\times 3.14\times 17.6 +17.6

=\frac{1}{2}\times 55.264 +17.6

=27.632 +17.6

=45.232

=45.23\: cm

7 0
3 years ago
A city's population is increasing at a rate of 2% per year.
Mariana [72]

Based on the information the number of people that will there after 20 years is: d.)  2.97 million.

Using this formula

P(t) = Population ×(1+ rate)^t

Where:

Population=2 million

rate=2%

time=20 years

Let plug in the formula

P(t) = 2×(1+.02)^20

P(t) = 2×(1.02)^20

P(t) = 2×1.485947

P(t) = 2.97 million

Inconclusion the number of people that will there after 20 years is: d.)  2.97 million.

Learn more about population here:brainly.com/question/25630111

6 0
2 years ago
The total cost for office expenses to run the organic strawberry farm varies directly with the number of months it is used. Whic
Pie
I just answered this, its y = 63x
5 0
3 years ago
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