All categories

2 years ago

A cone has a volume of 565.2 cubic millimeters and a radius of 6 millimeters. What is its

Mathematics

1 answer:

inessss [21]2 years ago

8 0

Answer:

h = 15 mm

Step-by-step explanation:

Given that,

The volume of a cone, V = 565.2 cubic millimeters

The radius of the cone, r = 6 mm

We need to find its height. The formula for the volume of the cone is given by :

$V=\dfrac{1}{3}\pi r^2 h$

Where

h is the height of the cone

$h=\dfrac{3V}{\pi r^2}\\\\h=\dfrac{3\times 565.2 }{3.14 \times 6^2}\\\\h=15\ mm$

So, the height of the cone is equal to 15 mm.

You might be interested in

Omgggg help me for brainly what’s 4 x 5 divided by 2

yanalaym [24]

Answer:

Step-by-step explanation:

$\frac{4 x 5}{2}$

4 x 5 = 20

$\frac{20}{2}$ = 10

3 0

2 years ago

Read 2 more answers

I need help!<br><br>solve for x

Volgvan

Answer:

x = 40

Step-by-step explanation:

Here's a fun fact, all of those angles actually add up to 360 degrees!

How do we know this? Well if you were to draw a small arc between each of the lines, you would see that the arc would end up making a circle. And remember, circles have 360 degrees!

Now we can do some basic algebra. Add up all the angles and set that equal to 360.

(2x) + (x) + (3x + 20) + (2x+20) = 360.

8x + 40 = 360

8x = 320

x = 40

Hope this helped!

4 0

1 year ago

The temperature in Lakeside was 21°C. The temperature in Salem was 9°C. How much warmer was the temperature in Lakeside than the

horrorfan [7]

12 degrees celsius i can’t find the symbol but that’s the answer.

3 0

3 years ago

Read 2 more answers

PLEASE!!! NEED HELP ASAP!!! 50 PTS AND BRAINLIEST!!!

noname [10]

1) Inverse function: $f^{-1}(x)=g(x)=\frac{x+4}{3}$

2) $f(1) = -1, g(-1) = 1$

3) $f(g(x))=g(f(x))=x$

Step-by-step explanation:

In this first method, we want to find the inverse function of $f(x)$ .

The original function is:

$f(x) = 3x-4$

We rewrite it as

$y=3x-4$

We swap the name of the variables:

$x=3y-4$

Adding +4 on both sides:

$x+4=3y-4+4\\x+4=3y$

And dividing by 3 on both sides:

$y=\frac{x+4}{3}$

which is identical to $g(x)$ :

$g(x)=\frac{x+4}{3}$

In this second method, we want to use the output of one function as input to the other function, and show that the output value is equal to the imput value.

We start using the function

$f(x)=3x-4$