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3 years ago

Determine the volume of the cylinder

Mathematics

1 answer:

vova2212 [387]3 years ago

3 0

Answer:

V = πr²h

To determine the volume of a cylinder you have to multiply the area of the base by the height of the cylinder.

Step-by-step explanation:

The base of a cylinder is a circle. So we must find the area of the circle first. (Which is πr²)

Then we multiply the height by the area of the circle.

V = π·r²·h

This can be used in different ways as well,

if we don't know the radius but know everything else we could use the formula:

$r=\sqrt{\frac{V}{\pi*h} }$ (r = √(V/πh))

If we don't know the height we use this formula:

(h = V/(πr²))

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Hello, Brainly community!

ioda

Answer:

(B) $\displaystyle \frac{W(3.1) - W(2.9)}{0.2}$

General Formulas and Concepts:

Calculus

Limits

Derivatives

The definition of a derivative is the slope of the tangent line.

Derivative Notation

Instantaneous Rates

Tangent Line: $\displaystyle f'(x) = \frac{f(b) - f(a)}{b - a}$

Step-by-step explanation:

Since we are trying to find a rate at which W(t) changes, we must find the derivative at t = 3.

We are given 2 close answer choices that would have the same numerical answer but different meanings:

(A) $\displaystyle \lim_{t \to 3} W(t)$
(B) $\displaystyle \frac{W(3.1) - W(2.9)}{0.2}$

If we look at answer choice (A), we see that our units would simply just be volume. It would not have the units of a rate of change. Yes, it may be the closest numerically correct answer, but it does not tell us the rate at which the volume would be changing and it is not a derivative.

If we look at answer choice (B), we see that our units would be cm³/s, and that is most certainly a rate of change. Answer choice (B) is also a derivative at t = 3, and a derivative tells us what rate something is changing.

∴ Answer choice (B) will give us the best estimate for the value of the instantaneous rate of change of W(t) when t = 3.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Book: College Calculus 10e

8 0

3 years ago

Solve the system of equations and choose the correct ordered pair.

Dafna1 [17]

So for this, I will be doing the elimination method. Firstly, multiply both sides of the first equation by 2:

$6x-8y=52\\2x+8y=-36$

Next, add the two equations together to get $8x=16$ . From here you can solve for x.

For this equation, just divide both sides by 8 and your first answer will be $x=2$

Now that we have the value of x, substitute it into either equation to solve for y:

$3*2-4y=26\\6-4y=26\\-4y=20\\y=-5\\\\2*2+8y=-36\\4+8y=-36\\8y=-40\\y=-5$

In short, the solution is (2,-5), or A.

3 0

3 years ago

Read 2 more answers

Qué número entero está entre -2 y 5

cestrela7 [59]

Answer:

1.5

Step-by-step explanation:

-2,-1,0,1,2,3,4,5

Le quitamos un número hasta llegar al medio. En el medio hay dos números, el 1 y el 2. Pues tenemos que buscar el promedio de los dos (1+2=3 y 3÷2=1.5).

4 0

3 years ago

3) The width is changed by a scale factor of . What is the new volume? 10 cm 15cm 5 cm

MrRa [10]

I think the answer is A i’m sorry if it’s wrong i’m not for sure.

6 0

3 years ago

On January 31, Jean Marie’s business receives a bill for that month’s utilities in the amount of $500. Jean sets it aside becaus

marissa [1.9K]

On January 31, Jean Marie’s business receives a bill for that month’s utilities in the amount of $500. Jean sets it aside because she does not plan to pay the bill until its due date of February 15. What effect, if any, does this event have on the company’s accounting equation as of January 31?

Solution: The event that Jean does not plan to pay the bill until due date of February 15 must be recorded. Recording this event would increase the liabilities and decrease equity on January 31.

4 0

3 years ago