MATHEMATICS MIDDLE SCHOOL

A cylindrical well is 25 meters deep and has a diameter of 1.8 meters. Approximately how many cubic meters of soil were dug out to make the well? (Use π = 3.14.)

Answers

Answer 1

Answer:

The amount of soil dug out of well is 63.585 $m^(3)$ .

How to calculate the volume of cylinder?

Volume of Cylinder= $\pi r^(2)h\n$

Given values: $\pi$ =3.14

r=0.9 m (d/2)

h=25 m

Volume:

$3.14(0.9^(2) )25$

=63.585 $m^(3)$

Therefore 63.585 cubic meters of soil was dug out.

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Answer 2

Answer: Height=25m
diameter=1.8m
so radius=0.9m
soil dugged out to.make well=vol.of well
=pi×r^2×h
=3.14×0.9×0.9×25
=3.14×25×0.81
=63.585m^3

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two savings accounts each start with a $200 principal and have interest rate of 5%. One account earns simple interest and the other is compound annually. Which account will earn more interest over 10 years? How much more?

Answers

Formula for Simple Interest: I = PRT

P = Principal
R = Interest rate per time period in decimal
T = number of time periods

Now you just substitute: 200 x 0.05x 10 = $100 interest

Formula for Compound Interest: A = P(1 + r)^n

A = Final amount to which investment grows
P = Principal
r= interest rate per period as decimal
n= number of corresponding periods

Substitute: 200(1 + 0.05)^10 = $325.80 (rounded)

Now compare and the compound interest earns more by $225.80

Answer:

Step-by-step explanation:

you would add $220 and 5%

After you get your answer you should get 1185

Given C(x, 16), D(2, -4), E(-6,14) and F(-2,4) find the value of x so that CD is parrallel to EF

Answers

Is this question related to vectors?

What number has 4 hundreds 0 tens and 0 ones

Answers

The answer is 400.

There are 4 hundreds, 0 tens and 0 ones

4 hundred because it only has 4 hundreds with no other numbers

What is the first zero place value in 9.00027

Answers

$9.\underline{0}0027\n\n\boxed{tenths\ value}$

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The diameter of a circle is 10 cm what is the angle measure of an arc Pi centimeters long

Answers

we know that

[length of a circumference]=2*pi*r
diameter=10 cm
r=10/2-----> 5 cm
[length of a circumference]=2*pi*5-----> 10*pi cm

if 360° (full circle) has a length of -----------> 10*pi cm
X°---------------------------> pi cm
X=pi*360/10*pi------> 36°

the answer is 36°

A garden table and bench cost $655 combined. The garden table cost $45 less than the bench. What is the cost of the bench?

Answers

The cost of the bench for the condition is 4350.

What are Mathematical operators?

A collection of numbers and operations is an expression in mathematics. The following are the parts of a math expression that do a math operation:

Operands: Operands are the numbers that an operator uses. The terms that are given to the operands vary according to the kind of operation.

Given the total cost of the bench and table = $655

The garden table cost $45 less than the bench,

let the cost of the bench be x

cost of table is x - 45

according to the conditions,

x + x - 45 = 655

2x = 655 + 45

x = 722/2

x = $350

Hence the cost of the bench is $350.

Learn more about Mathematical operators;

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