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Marizza181 [45]
3 years ago
9

What is the volume of a cylindrical bucket that is 35 cm tall and has a base with a diameter of 21 cm? Use pi= 22/7 and round yo

ur answer to the nearest tenth of a cubic centimeter.
Mathematics
2 answers:
Romashka [77]3 years ago
7 0

Answer:

the answer is 12127.5cm³

Step-by-step explanation:

Natali [406]3 years ago
6 0
The volume of a cylinder is given by the multiplication of the area of the base by the height of the cylinder.  π×r²(area of the base) × h (height of the cylinder) ⇔
\frac{22}{7}×(\frac{21}{2} )^{2}cm²×35cm=12127.5cm³
(r is half of the diameter. Because we are doing the square of r, the cm also are squared.)
Rounding to the nearest tenth is to round the result so that it maintains a number after the point - the result is 12127.5cm³
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To cook fondant, sugar and water are heated to 230°F. Then the mixture
nika2105 [10]

Using the Newton's law of cooling, the time it takes to cool to 100°F is 116 mins.

<h3>Newton's law of cooling</h3>

According to the Newton's law of cooling, the when an object is exposed to the surrounding it looses heat rapidly untill it is at a thermal equilibrium with the suurroundings.

Now;

T(t) = T(s) + (To - Ts)e^-kt

T(t) = temperature at time T

To = initial temperature

Ts = temperature of the surrounding

k = colling constant

t = time taken

200 = 68 + (230 - 68)e^-15k

200 = 68 + 162e^-15k

200 - 68/162 = e^-15k

ln(0.815) = -15k

k = ln(0.815)/-15

k = 0.014 min-1

Now;

100 = 68 + (230 - 68)e^-( 0.014t)

100 -68/162 = e^-( 0.014t)

0.198 =e^-( 0.014t)

ln(0.198) = -( 0.014t)

t = ln(0.198)/-0.014

t = 116 mins

Learn more about newtons law of cooling: brainly.com/question/14643865:

4 0
2 years ago
Would the following situation be better represented by a linear function or an exponential function:
anastassius [24]

Answer:

Exponential function

Step-by-step explanation:

It is better if the situation on ground is represented by an exponential equation.

This is because, since we have the number of teams reducing by exactly half at every playoff round, this means that we have a base of 2 which can be raised to a negative power since we are talking about a decrease.

We can then place the number of rounds as an adjoining power to what the two is raised and this easily will get us the number of teams which is eventually decreased at every point of the playoffs

4 0
3 years ago
What is ​2/​9 ​​ × ​4/1 equal to
Leokris [45]
The answer is 8/9.

Hope this helped.
8 0
3 years ago
Read 2 more answers
What is the sum? StartFraction 3 y Over y squared + 7 y + 10 EndFraction + StartFraction 2 Over y + 2 EndFraction
katovenus [111]

Answer:

\dfrac{5}{y+5}

Step-by-step explanation:

Here, we have to find the sum of 2 fractions:

1st fraction: \dfrac{3y}{y^{2}+7y+10}

2nd fraction: \dfrac{2}{y+2}

Considering the denominator of 1st fraction:

y^{2}+7y+10

Using factorization method:

7y can be written as (2y + 5y).

\Rightarrow y^{2}+2y+5y+10

Taking <em>5 common</em> from 5y+10 and <em>y common</em> from y^{2}+2y: \Rightarrow y(y+2)+5(y+2)

Now taking (y+2) common:

\Rightarrow (y+5)(y+2)

\dfrac{3y}{y^{2}+7y+10} can be written as \dfrac{3y}{(y+5)(y+2)}

Now, calculating the sum:

\dfrac{2y}{(y+5)(y+2)} + \dfrac{2}{y+2}

Taking <em>LCM</em> and solving:

\Rightarrow \dfrac{3y+2(y+5)}{(y+5)(y+2)}\\\Rightarrow \dfrac{5y+10}{(y+5)(y+2)}\\\Rightarrow \dfrac{5(y+2)}{(y+5)(y+2)}\\\Rightarrow \dfrac{5}{(y+5)}

Hence, answer is \dfrac{5}{y+5}.

4 0
3 years ago
The distance between two stars is 10^m=10,000,000,000,000,000 km. What is the value of m?
skad [1K]
Count the number of zeros past the number 10. That is the value of M.
5 0
3 years ago
Read 2 more answers
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