If the volume of a cylinder with the height of 3 feet is 75 cubic feet, find the surface area of a cylinder in square feet. F25 G50 H80 J30

Answers

Answer 1

Answer: Surface area of cylinder = 2πrh+2πr²
Volume of cylinder = 2πr²×h
So:
75 = 2πr²×3
12.5 = πr²
r = 1.99(471140201)

A = 2π×1.99×3+2π×1.99²
= 62.39(265842) ft²

Answer 2

Answer:

Final answer:

The surface area of a given cylinder with a volume of 75 cubic feet and a height of 3 feet is calculated to be 80 square feet by first finding the radius from the volume and height, then substituting those into the surface area formula.

Explanation:

To find the surface area of a cylinder, we first need to know the radius. Given the volume (V) of a cylinder is 75 cubic feet and the height (h) is 3 feet, we can use the formula V = πr²h to find the radius (r). Now, since V = 75 cubic feet and h = 3 feet, we can adjust our formula to solve for r: r = √(V/(πh)) = √(75/(3π)) and find the radius to be 2.88 feet. The formula for the surface area (SA) of a cylinder is SA = 2πrh + 2πr². Substituting r = 2.88 feet and h = 3 feet, we calculate the surface area to be 80 square feet. So the answer is H: 80 square feet.

Learn more about Cylinder Surface Area here:

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Jenny is on the local swim team for the summer and has swim practice four days per week. The schedule is the same each day. The team swims in the morning and then again for 2 hours in the evening. If she swims 20 hours per week, how long does she swim each morning?

Answers

Answer:

Number of hours Jenny swims each morning = 3 hours

Step-by-step explanation:

Let Jenny swims 'x' hours in the morning each day.

She swims 2 hours in the evening too.

Total hours she swims each day = (x + 2) hours

If her team swims 4 hours per week then number of hours she swims = 4(x + 2)

If she swims 20 hours in a week then,

4(x + 2) = 20

(x + 2) = 5

x = 5 - 2

x = 3 hours

Therefore, Jenny swims 3 hours each morning.

Prove :M<1 + m<2 +m<3=180
Given : ABC

Answers

To prove that M<1 + m<2 + m<3 = 180, we need to use the given information that ABC is a triangle.

In a triangle, the sum of the interior angles is always equal to 180 degrees.

Let's label the angles of triangle ABC as follows:

Angle A as M<1

Angle B as m<2

Angle C as m<3

Using the given information, we can rewrite the equation as:

M<1 + m<2 + m<3 = A + B + C = 180

This equation holds true because it is a fundamental property of triangles. Therefore, the statement is proven.

Given the function f(x) = x3 − 18x2 + 107x − 210, what are the y-intercept and x-intercepts? Show the work steps to find these intercepts

Answers

Answer:

The y-intercept of the function is -210 and the x-intercepts of the function are 5,6,7.

Step-by-step explanation:

The given function is

$f(x)=x^3-18x^2+107x-210$

To find y-intercept put x=0.

$f(x)=(0)^3-18(0)^2+107(0)-210$

$f(x)=-210$

The y-intercept of the function is -210.

To find the x intercepts put f(x)=0.

$x^3-18x^2+107x-210=0$

For x=5, the above equation is true, therefore (x-5) is factor of the equation.

Use synthetic method to find the factors.

$(x-5)(x^2-13x+42)=0$

$(x-5)(x^2-6x-7x+42)=0$

$(x-5)(x(x-6)-7(x-6))=0$

$(x-5)(x-6)(x-7)=0$

Use zero product property and equate each factor equal to zero.

$x=5,6,7$

Therefore the x-intercepts are 5, 6 and 7.

Malachy was thinking of a number. Malachy halves the number and gets an answer of 67.3.Form an equation with x from the information.

Answers

Step-by-step explanation:

Let the number be x.

ATQ,

Malachy halves the number and gets an answer of 67.3.

$(x)/(2)=67.3$

This the equation for the given statement.

It can also be written as :

$x=2* 67.3\n\nx=134.6$

Hence, this is the required solution.

Angela has a cube with a length of one yard. Maya has a cube with a length of one meter. What do the two cubes have in common? List at least two common attributes

Answers

1) Both cubes have approximately equal sides.

2) The volume of both cubes is approximately equal .

Step-by-step explanation:

Here, let us assume there are two cubes A and B.

The side length of cube A = 1 yard

The side length of cube B = 1 meter

Now,as we know: 1 meter = 1.09361 yards ≈ 1 yard

So, we can say that, approximately, both cubes have equal sides.

Now, Volume of a Cube = (Side)³

Since, both cubes have approximately equal sides,

⇒Volume of cube A ≈ Volume of cube B

Hence, both cubes have approximately equal volume.

Elimination using multiplication.
3x-5y=14
2x+4y=2

Answers

3x - 5y = 14
2x + 4y = 2

We multiply the first equation by 2 and the second equation by 3 to obtain:

6x - 10y = 28
6x + 12y = 6

Subtracting the two equations:

-22y = 22
y = -1

Using this in the first equation:
3x - 5(-1) = 14
x = 3

The solution is:
(3 , -1)

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