1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
-BARSIC- [3]
4 years ago
14

A cylindrical tank is half-full of oil. The cylinder has a base radius of 100 cm. The height of the cylinder is 250 cm. How many

litres of oil are in the tank? 1 litre = 1000 cm3
Mathematics
2 answers:
lbvjy [14]4 years ago
7 0
V=hpir²


1/2 full

Vcylinderthisone=(1/2)hpir^2
given
h=250
r=100

so

V=(1/2)(250)pi(100)²
V=125pi10000
V=1250000pi
aprox pi=3.141592
V=3926990 cm^3

divide by 1000
3926.99 liters
about 3927 liters
NARA [144]4 years ago
4 0
V=πr²h
V=π(100)² x 250
V=7853982.5 cm³

Then do the conversion:
1 litre = 1000 cm³
x litre =  7853982.5

Cross multiply:

1000x= 7853982.5
 x= 7853982.5/1000
x= 7853.98 litres

You might be interested in
Which transformation(s) could map one triangle to the other? reflection translation reflection and translation rotation and tran
denis-greek [22]

The correct option D.

Rotation and translation transformation(s) could map one triangle to the other.

<h3>Briefing:</h3>

Triangle A is mapped to triangle B by reflecting it across the x-axis and rotating it 90 degrees counterclockwise with respect to the origin. Triangle A to triangle B will be mapped using the following set of transformations, which also highlights how similar the two figures are.

<h3>What is a geometric transformation in GIS?</h3>

When registering a digital map, satellite image, or air photo onto a projected coordinate system, geometric transformation is the process of applying a set of control points and transformation equations. Map-to-map transformation and image-to-map transformation are examples of geometric transformation in geographic information systems (GIS).

<h3>What are the three types of geometric transformation?</h3>

Mathematically speaking, a transformation is a mapping from a preimage of a shape or function to an image of the same shape or function. Translation, rotation, and reflection are the three main categories of transformations.

To know more about geometric transformation visit:

brainly.com/question/19117133

#SPJ4

I understand that the question you are looking for is:

Which transformation(s) could map one triangle to the

other?

O reflection

O translation

O reflection and translation

O rotation and translation

5 0
1 year ago
Read 2 more answers
A round table has 4 legs and a rectangular table has 6 legs. If 10 tables have a total of 52 legs, how many of the legs belong t
ivolga24 [154]

Answer:

16 because if each chair has 4 legs you multiply that by the amount of chairs you have. 4x4=16

Step-by-step explanation:

4x4=16

3 0
2 years ago
Victor earns a gross annual income of $64,570 and is buying a home for $125,340. He is making a 15% down payment and financing t
Oliga [24]
Part A:

Given that <span>Victor is buying a home for $125,340 and that he is making a 15% down payment.

The amount of down payment is given by 15% of $125,340 = 0.15 x $125,340 = $18,801.

Therefore, the amount of mortgage he needs to borrow is given by $125,340 - $18,801 = $106,539


Part B

</span>Given that he earns a gross annual income of $64,570 <span>and that the loan of $106,539 will be spread for 20 years at 3.75% interest.

$106,539 / 20 = $5,326.95

Roughly he will be paying about $5,000 every year which is way below his annual gross income. 

Therefore, he can afford the mortgage.


Part C

The monthly mortgage payment can be calculated using the present value of annuity formula given by

</span>PV=P\left( \frac{1-\left(1+\left( \frac{r}{t} \right)\right)^{-nt}}{ \frac{r}{t} } \right)
<span>
where: PV is the current value of the loan, P is the periodic (monthly) payment, r is the annual interest rate, t is the number of payment in one year and n is the number of years.

Here, PV = </span>$106,539; r = 3.75% = 0.0375; t is 12 payments in one year (since payment is to be made monthly); n = 20 years.

Thus, we have:

106,539=P\left( \frac{1-\left(1+\left( \frac{0.0375}{12} \right)\right)^{-20\times12}}{ \frac{0.0375}{12} } \right) \\  \\ =P\left( \frac{1-\left(1+0.003125\right)^{-240}}{0.003125} \right)=P\left( \frac{1-\left(1.003125\right)^{-240}}{0.003125} \right) \\  \\ =P\left( \frac{1-0.472919}{0.003125} \right)=P\left( \frac{0.527081}{0.003125} \right)=168.666P \\  \\ \Rightarrow P= \frac{106,539}{168.666} =631.66

Therefore, the monthly mortgage payment is $631.66


Part D

Since he will make a monthly payment of $631.66 for 20 years, thus he will make a total of $631.66 x 12 x 20 = $151,598.40

Therefore, his total payment for the house will be $151,598.40


Part E

Since he will make a total payment of $151,598.40 for a mortgage loan of $106,539.

Therefore, the amount of interest he will pay is given by $151,598.40 - $106,539 = $45,059.40
7 0
4 years ago
True or false: f(x) is a function.<br> f(x)
Kaylis [27]

Answer:

yes it is

Step-by-step explanation:

f(x) or g(x) are functions

7 0
4 years ago
Can someone please help me it’s urgent, i dont know how to do this ?
gizmo_the_mogwai [7]
What are the sins please
4 0
3 years ago
Other questions:
  • A 16 oz package of brown rice cost 79cents and 32oz package of white rice costs $3.49 which package is a better deal
    10·1 answer
  • If the area of a square is 49 square inches, how long must each side be?
    9·2 answers
  • Define the terms factor and quantity. Then for the expression −3(4+x)(z−2−y), list all of the factors, and specify which are qua
    9·1 answer
  • Angel Graham takes out a $150,000 mortgage. This is a 30-year at $725 per month. What is the total amount of interest that Angel
    5·2 answers
  • Check
    15·1 answer
  • PLS ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    15·1 answer
  • What is the twentieth term in the sequence 23, 43, 63, 83 …?
    8·2 answers
  • Find the area of a circle if its circumference is 10 pi
    9·1 answer
  • Olivia is thinking of a number, n and she wants her sister to guess the number. Her first clue is that five less that times
    7·1 answer
  • Patricia is making two sizes of hamburgers: 0.5-pound and
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!