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1 year ago

The volume of a cylinder is 225π cubic inches,

Mathematics

1 answer:

aleksklad [387]1 year ago

5 0

The value of the height of the cylinder is 25cm.

According to the statement

we have to find that the height pf the cylinder with the given value of the volume.

So, For this purpose we know that the

The volume of a cylinder is the density of the cylinder which finds that the amount of material it can carry. Cylinder's volume is given by the formula, πr^2h.

From the given information:

The volume of a cylinder is 225π cubic inches, and the radius of the cylinder is 3 inches.

Then

volume = πr^2h

225π = π3^2h

Now, solve it then

225 = 9h

h = 25.

The value becomes 25.

So, The value of the height of the cylinder is 25cm.

Learn more about volume of a cylinder here

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Trey is putting up a fence around a 750 foot by 540 foot lot. How many feet of fence dose he need?

anygoal [31]

Given:

The length of the lot l= 750ft

The width of the plot w= 540 ft

Required:

Find the required fence.

Explanation:

The perimeter of the rectangle is given by the formula.

$P=2(length+width)$

Thus the required fence for the lot

$\begin{gathered} =2(750+540) \\ =2(1290) \\ =2580\text{ ft} \end{gathered}$

Final answer:

The required fence is 2580 ft.

6 0

1 year ago

78/25 as a terminating decimal

Kazeer [188]

To write $\frac{78}{25}$ as a terminating decimal we will turn this fraction to a decimal. To do this we will divide the numerator by the deliminator and the result will be the decimal.Then we will check if it is a terminating decimal or repeating decimal. Lets do it:-

$\frac{78}{25}$
78 ÷ 25 = 3.12

3.12 is a terminating decimal.

So, $\frac{78}{25}$ as a terminating decimal is 3.12.

Hope I helped ya!!

8 0

3 years ago

Read 2 more answers

Suppose a researcher is interested in understanding the variation in the price of store brand milk. A random sample of 36 grocer

liberstina [14]

Answer: ($3.055, $3.205)

Step-by-step explanation:

Given : Significance level : $\alpha: 1-0.95=0.5$

Critical value : $z_{\alpha/2}=1.96$

Sample size : n= 36

Sample mean : $\overline{x}=\$\ 3.13$

Standard deviation : $\sigma= \$\ 0.23$

The confidence interval for population mean is given by :_

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

$\text{i.e. }\$\ 3.13\pm (1.96)\dfrac{0.23}{\sqrt{36}}\\\\\approx\$\ 3.13\pm0.075\\\\=(\$\ 3.13-0.075,\$\ 3.13+0.075)=(\$\ 3.055,\$\ 3.205)$

Hence, the 95% confidence interval to estimate the population mean = ($3.055, $3.205)

3 0

3 years ago

Functions A and B give the population of City A and B respectively, t years since 1990. In each function, population is measured

Nataly_w [17]

Answer:

$B(4) > A(4)$

$t = 6$

Step-by-step explanation:

Given

$City\ A \to Purple$

$City\ B \to Blue$

See attachment for both functions

Solving (a): Which is greater in A(4) and B(4).

From the readings of the graph

$A(4)= 1.8$

$B(4) = 2.6$

By comparison:

$B(4) > A(4)$ because $2.6 > 1.8$

Solving (b): When is A(t) = B(t)

From the readings of the graph

$A(t) = B(t)$ when $t = 6$

i.e.

$A(t) = B(t) = 3\ million$

4 0

3 years ago

As a sales person at scrapbooks and treasures Alyssa receives a monthly base pay plus commission on all that she sells she sells

max2010maxim [7]

Let
x = base pay per month
y = commission per $1 of sales

Then the monthly pay for selling $100 of merchandise is
P = x + 100y

In one month, Alyssa earned $388 for selling $400 worth of merchandise.
Therefore
x + 400y = 388 (1)

In another month, she earned $520 for selling $1000 worth of merchandise.
Therefore
x + 1000y = 520 (2)

Subtract (1) from (2).
x + 1000y - (x + 400y) = 520 - 388
600y = 132
y = 0.22
From (1), obtain
x = 388 - 400y = 388 - 400*0.22 = 300

When Alyssa sells $3300 worth of merchandise, she earns
300 +0.22*3300 = $1026

Answer: $1026

3 0

3 years ago