All categories

2 years ago

Find the volume of the cylinder

Mathematics

1 answer:

Alexxx [7]2 years ago

3 0

Answer:

Step-by-step explanation:

the formula is πr²h/3= pi=22/7, so 22/7x 3x 5/3= 47.12389 simplified= 47

You might be interested in

Chris invested some money at a rate of 5% per year compound interest.

max2010maxim [7]

Step-by-step explanation:

the answer is in the picture ☝️

6 0

2 years ago

Suppose that the derivable functions x=x(t) and y=y(t) satisfy xcosy=2.

ololo11 [35]

Applying implicit differentiation, it is found that dy/dt when y=π/4 is of:

a-) -√2 / 2.

<h3>What is implicit differentiation?</h3>

Implicit differentiation is when we find the derivative of a function relative to a variable that is not in the definition of the function.

In this problem, the function is:

xcos(y) = 2.

The derivative is relative to t, applying the product rule, as follows:

$\cos{y}\frac{dx}{dt} - x\sin{y}\frac{dy}{dt} = 0$

$\frac{dy}{dt} = \frac{\cos{y}\frac{dx}{dt}}{x\sin{y}}$

Since dx/dt=−2, we have that:

$\frac{dy}{dt} = -2\frac{\cos{y}}{x\sin{y}}$

When y = π/4, x is given by:

xcos(y) = 2.

$x = \frac{2}{\cos{\frac{\pi}{4}}} = \frac{2}{\frac{\sqrt{2}}{2}} = \frac{4}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = 2\sqrt{2}$

Hence:

$\frac{dy}{dt} = -2\frac{\cos{y}}{x\sin{y}}$

$\frac{dy}{dt} = -\frac{1}{\sqrt{2}}\cot{y}$

Since cot(pi/4) = 1, we have that:

$\frac{dy}{dt} = -\frac{1}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = -\frac{\sqrt{2}}{2}$

Which means that option a is correct.

More can be learned about implicit differentiation at brainly.com/question/25608353

#SPJ1

4 0

1 year ago

Which set of ordered pairs is a function?

vodomira [7]

{(1,3) (2,4) (3,5) (4,3)}

5 0

3 years ago

Which step will get you closest to the solution of this equation?<br><br> 5⋅(x−2)=7

Paul [167]

When you divide both sides by 5

4 0

2 years ago

HELP PLEASE!!! WILL GIVE THANKS & BRAINLIEST

zhuklara [117]

The graph that best represents the system of inequalities would be the second one.

y > -2x - 2

y $\leq$ x + 4

7 0

2 years ago