5x - 1 +5x<br> 1.1<br> 2.10x-1<br> 3.11x<br> 4.-1

A vertical cylinder is leaking water at a rate of 4m3/sec. If the cylinder has a height of 10m and a radius of 2m, at what rate

Lyrx [107]

Answer:

Therefore the rate change of height is $\frac{1}{\pi}$ m/s.

Step-by-step explanation:

Given that a vertical cylinder is leaking water at rate of 4 m³/s.

It means the rate change of volume is 4 m³/s.

$\frac{dV}{dt}=4 \ m^3/s$

The radius of the cylinder remains constant with respect to time, but the height of the water label changes with respect to time.

The height of the cylinder be h(say).

The volume of a cylinder is $V=\pi r^2 h$

$=( \pi \times 2^2\times h)\ m^3$

$\therefore V= 4\pi h$

Differentiating with respect to t.

$\frac{dV}{dt}=4\pi \frac{dh}{dt}$

Putting the value $\frac{dV}{dt}$

$\Rightarrow 4\pi \frac{dh}{dt}=4$

$\Rightarrow \frac{dh}{dt}=\frac{4}{4\pi}$

$\Rightarrow \frac{dh}{dt}=\frac{1}{\pi}$

The rate change of height does not depend on the height.

Therefore the rate change of height is $\frac{1}{\pi}$ m/s.

3 0

2 years ago

What is 1/2 divided by 3/4

My name is Ann [436]

Answer:

4/6=2/3

Step-by-step explanation:

3 0

3 years ago

Calculate the perimeter

Leto [7]

Answer:

48m

Step-by-step explanation:

12m - 4m = 8m / 2 = 4

12m + 4m + 4m + 4m + 4m + 8m + 8m + 4m = 48

3 0

2 years ago

Six added to three times a number is equal to four less than five times the number what is the number

likoan [24]

3x+6= 5x-4
6= 2x+4
10=2x
5=x

6 0

3 years ago

HELP ASAP PLEASE!!!!

Kisachek [45]

Answer:

Vertical stretch by a factor of 5.8 , reflection across x-axis ⇒ answer B

Step-by-step explanation:

* Lets revise the vertical and horizontal stretch with reflection

- A vertical stretching is the stretching of the graph away from the

x-axis

- If k > 1, the graph of y = k•f(x) is the graph of f(x) vertically stretched

by multiplying each of its y-coordinates by k.

- If k should be negative, the vertical stretch is followed by a reflection

across the x-axis

- A horizontal stretching is the stretching of the graph away from

the y-axis

- If 0 < k < 1 (a fraction), the graph of y = f(k•x) is f(x) horizontally

stretched by dividing each of its x-coordinates by k.

- If k should be negative, the horizontal stretch or shrink is followed

by a reflection in the y-axis

* Lets solve the problem

∵ G(x) = sin x

∵ F(x) = -5.8 sin x

∴ F(x) = -5.8 G(x)

- From the rule above

∴ G(x) is stretched vertically by scale factor -5.8

∵ The scale factor is negative

∴ The vertical stretch is followed by a reflection across the x-axis

* The transformation is:

Vertical stretch by a factor of 5.8 , reflection across x-axis

8 0

2 years ago

5x - 1 +5x 1.1 2.10x-1 3.11x 4.-1