A vessel without a lid has the shape of a cylinder. The height of the vessel is 1.5 m, and the diameter of the base represents 40% of the height. Determine if 1 kg of paint is enough to completely paint the vessel inside and out, if it is known that for 1 square meter of surface 150g of paint is consumed.​

Answer:

Yes, 1 kg of paint is enough to completely paint the inside and outside surfaces of the vessel.

Step-by-step explanation:

For the given vessel without a lid,

diameter = 0.4 x 1.5

               = 0.6 m

radius = [tex]\frac{diameter}{2}[/tex] = [tex]\frac{0.6}{2}[/tex]

           = 0.3 m

Total external surface area of the vessel = 2[tex]\pi[/tex]rh + [tex]\pi[/tex][tex]r^{2}[/tex]

                             = [2 x [tex]\frac{22}{7}[/tex] x 0.3 x 1.5] + [[tex]\frac{22}{7}[/tex] x [tex](0.3)^{2}[/tex]]

                             = 2.8286 + 0.2829

                             = 3.1112

Total external surface area of the vessel is 3.1112 square meter.

Total internal and external surface area = 2 x 3.1112

                                                              = 6.2224 [tex]m^{2}[/tex]

But for 1 square meter, 150 g of paint is consumed. Thus;

for 6.2224 [tex]m^{2}[/tex] = 6.2224 x 150 g

                       = 933.36 g

Thus, 6.2224 [tex]m^{2}[/tex] of area would require 933.36 g of paint.

So that,

[tex]\frac{933.36}{1000}[/tex] = 0.93336 kg

Therefore, 1 kg of paint is enough to completely paint the inside and outside surfaces of the vessel.

A chemistry experiment needed 12.45 grams of chemical to produce one liter of a gas. If Zoe wanted 24 liters of gas, how many kilograms of the chemical will she need?​

Kiana is saving for a new computer that cost $499. So far, she has earned 68 percent of the cost of the computer. How much more must Kiana earn.

122)
Find ..
leverd
A
122
B
61
с
58
D
29
n

What is the equation of the line?

A. y= 1/3x - 1
B. y= -1/3x + 1
C. y= -3x + 1
D. y= 3x - 1

What is the square root of 23

2) A landscaping company charges $40 to mow a lawn and $15 per hour to mulch the flower beds. Write an equation to represent the amount paid to the landscaping, A, to mow the lawn and mulch the flower beds for H hours.
5 points
A = 15 + 40H
A = 55H
A = 40 + 15H
A = 15H - 40

ill mark brainlist plss help

Helpppp me prettyyyy please I’m confused

Hiii pple can yall help me out here plz

Single term algebraic expression is called?
1. Monomial
2. Binomial
3. Trinomial
4.None of these

Is 3.13 greater than 3.12

An air-conditioning repair technician claims to complete 67% of repairs in under an hour. A random sample of 31
repairs was chosen, and 22 of those were completed in under an hour. Let p = the proportion of the random
sample that were completed in under an hour.
The probability that 71% or more of this technician's repairs were completed in under an hour is 0.317. Does this
result provide convincing evidence against the technician's claim?
Yes, it is expected that 22 of the units at most will be repaired in under an hour.
Yes, the probability of seeing the sample result is so far from what is expected that the probability of it occurring by
chance alone is very unlikely.
No, there is a very small chance of seeing the sample result. It is unlikely to occur by chance alone.
No, the difference between the sample result and what is expected is not extreme enough. The probability of it
occurring by chance alone is not unlikely.

need help with this I don't understand it​

Can anyone Help me pleasee ?

Which expression is equivalent to (r -7 6?

CHECK ALL THAT APPLY ! Please help

Nadia correctly answered 32 questions correct out of 40. What percent correct did she answer correctly?​

Kayley has a craft box full of buttons. The craft box has 6 yellow buttons, 7 black buttons, 4 red buttons, 2 pink buttons, 8 green buttons, and 3 buttons. If Kayley is randomly choosing buttons out of the box one at a time and then returning them, choose all the statements that are true.

A. Kayley has 1/15 chance in picking a pink button.

B. Kayley has an equal chance in choosing any color button.

C. Kayley has 2/15 chance in choosing a green button.

D. Kayley has a 4/5 chance in picking a button that is not yellow.

E. Kayley will more likely pick a brown button than a red button.

The average annual per capita consumption of fuel, in gallons, for a forty-year period is shown.
Year
0 5 10 15 20 25 30 35 40
Fuel Consumed (gallons) 654 711 712 675 619 563 527 527 584
What polynomial models these data?
G(a) = 1.50x2 + 18.31x + 654.01
O G(x) = 0.025x3 - 1.50x? + 18.31x + 654.01
G(x) = 0.02523 + 654.01
O G(x) = 0.0252 + 18.31x + 654.01

Evaluate this expression for a = 3 and b = 4.
(a + 4)
b 3(8 + 2)
+
b-2
ad
A. 6
B.
9
O C. 11
D.
18
O

Find the rule. Solve for n

what is 21+208 I AM A SUPER IDIOT PLZ HELP ME

(10 A person flying a kite has released
123 ft of string. The string makes an
angle of 21 degrees with the ground. How high
is the kite ?

Last week at the park Haeather ran 4 miles in 48 minutes when she runs her next race she Hope's to improve her time by 2 minutes per mile

Last week at the park what was haeather rate of speed in miles per hour ​

A quality check manager designs a simulation using a random generator, where numbers 0, 1, 2, and 3 represent that a bulb works correctly, and the number 4 represents that a bulb is defective. The quality check manager performs the simulation 20 times. The table shows the results.


112 441 200 421 334
032 012 230 103 120
201 244 102 022 032
343 010 443 004 344

Based on the results of the simulation, what is the probability that the next 3 bulbs will all work correctly? (HOW DID YOU GET YOUR ANSWER PLEASE SHOW ME YOUR WORK!!)


A. 15

B. 25

C. 35

D. 45

The dimensions of a rectangular sandbox are 4x + 2 by 2x + 4. The dimensions of a rectangular garden are 3x - 2 by x + 4. Which
expression represents how much more area the sandbox covers than the garden?
O A 5x2 + 10x + 16
OB. 10x2 + 8
o C. 8x2 + 20x + 8
O D. 11x2 + 30x

There are 7 red marbles, 7 blue marbles, 7 yellow marbles, and 7 green marbles in a bag. If a person randomly selects 1 marble from the bag, what is the probability that the person selects a blue marble? (HOW DID YOU GET YOUR ANSWER, PLEASE SHOW ME YOUR WORK!!)


A. 0.75

B. 0.5

C. 0.25

D. 0.0625

I need help with this urgently


Leo has purchased a fee-for-service health insurance plan from Leroux Health Insurance. Plan A includes a $225.00 monthly premium and an annual deductible of $5,500.00 (not including co-pays). Except for chronic back pain, Leo is a fairly healthy man. He visits his primary care physician four times a year on scheduled visits. He sees a chiropractic specialist every two weeks to help with his lower back pain. He has no current prescriptions that need refilling regularly. Assuming Leo maintains his regular visits with his primary care physician and his chiropractor, and avoids any trips to the emergency room or urgent care, how much will Leo pay in health care related fees this year, including his premium payments? See the table below: *


$8300.00
$1960.00
$4660.00
$6216.00

What function is represented by a line with slope −2 that passes through the point (0, 4)?

please help me with this where do I put capitalization?????

Plz help



.

X
X
X
X



D

E
D
D
D