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3 years ago

1 A can in the shape of a cylinder has a diameter of 6 centimeters and a height of 10

Mathematics

2 answers:

Ronch [10]3 years ago

8 0

Answer:

radius r = 3 cm

height h = 10 cm

volume V = 282.743339 cm^3

lateral surface area L = 188.495559 cm^2

top surface area T = 28.2743339 cm^2

base surface area B = 28.2743339 cm^2

total surface area A = 245.044227 cm^2

In Terms of Pi π

volume V = 90 π cm3

lateral surface area L = 60 π cm^2

top surface area T = 9 π cm^2

base surface area B = 9 π cm^2

total surface area A = 78 π cm^2

Step-by-step explanation:

Cylinder Formulas in terms of r and h:

Calculate volume of a cylinder:

V = πr2h

Calculate the lateral surface area of a cylinder (just the curved outside)**:

L = 2πrh

Calculate the top and bottom surface area of a cylinder (2 circles):

T = B = πr2

Total surface area of a closed cylinder is:

A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)

Agenda: r = radius

h = height

V = volume

L = lateral surface area

T = top surface area

B = base surface area

A = total surface area

π = pi = 3.1415926535898

√ = square root

Andreyy893 years ago

5 0

Answer:

Step-by-step explanation:

Yes

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Solve x – 7 > –8.

IgorC [24]

Question 1.

x - 7 > - 8

Adding 7 to both sides, we get:

x - 7 + 7 > - 8 + 7

x > -1

Thus the answer to the inequality is option Fourth.

Question 2.

A number exceeds 66. Let that number be x. The number exceeds 66 means that the number is larger than 66. So in form of an expression we can write the inequality as:

x is greater than 66

x > 66

So, option 1st gives the correct answer.

Question 3.

The tiles are square shaped and area of a square can be calculated as the square of its Length.

Area of square = (Length)²

If we are given the Area, we can find the length as:

Length = $\sqrt{Area}$

For Tile A, the length will be:

$Length= \sqrt{9}=3$
So length is a Rational number

For Tile B, the length will be:

$Length= \sqrt{25}=5$
So length is a Rational number

For Tile C, the length will be:

$Length= \sqrt{34}$
So, Length is not Rational.

For Tile D, the length will be:

$Length= \sqrt{76}$
Length is not Rational

Thus, the lengths of Tile A and Tile B are rational only.

Therefore, the correct answer is 1st option

8 0

3 years ago

I’m confused please help

Maru [420]

<h2>Hello!</h2>

The answer is:

$Sin(A)=0.93$

To solve the problem, remember to set your calculator in "degree mode"

So, we are given that the angle A is equal to 68°

So, we have that:

$Sin(A)=Sin(68\°)=0.93$

Hence, we have that:

$Sin(A)=0.93$

Have a nice day!

4 0

3 years ago

A car with a cost price of $5200 is<br> sold at a profit of 15%. Calculate the<br> selling price

andriy [413]

Answer:

We are given the initial price of a car and we are also told that the car sold for a 15% profit which means that the price that the car was sold for is 15% more than it's initial price. This is just a simple multiplication problem which we multiply the initial price by the total percentage plus 0.15

$Sold\ Price = Initial\ Price *(Total\ Percentage+Profit\ Percentage)$

$Sold\ Price = \$5200*(1+0.15)$

$Sold\ Price = \$5200*(1.15)$

$Sold\ Price = \$5980$

Therefore, our final answer is that the selling price was $5980

<u><em>Hope this helps! </em></u>

5 0

1 year ago

Write 1,340,000,000,000 in expanded form with exponents

Kazeer [188]

1 × 1010+3 × 109+4 × 108+0 × 107+0 × 106+0 × 105+0 × 104+0 × 103+0 × 102+0 × 101+0 × 10<span>0

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3 0

3 years ago

Peter takes16 minutes longer to mow the lawn by himself than Charles . Together they can mow the lawn in 18 minutes. How long wi

lapo4ka [179]

Answer:

about 29.7 minutes

Step-by-step explanation:

If it take c minutes for Charles to mow the lawn by himself, it takes c+16 minutes for Peter. The two of them working together can mow in one minute this fraction of the entire lawn:

1/c + 1/(c+16) = 1/18

Multiplying by 18c(c+16), we get ...

18(c +16) + 18(c) = c(c+16)/18

36c +288 = c^2 +16c

c^2 -20c = 288 . . . . . subtract 36c

c^2 -20c +100 = 388 . . . . . add (20/2)^2 = 100 to complete the square

(c -10)^2 = 388

c = 10 +√388 ≈ 29.6977 . . . . . take the positive square root

It takes Charles about 29.7 minutes to mow the lawn by himself.

7 0

2 years ago