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3 years ago

A sphere and a right cylinder have the same radius and volume. The cylinder has a height of 6 centimeters. What is the radius?

1 answer:

4 0

You are going to solve this in such a quick, slick way
that you will blink and not believe it. Fasten your seat belt.

Here are the tools you'll need:

-- Volume of a cylinder = (pi) (radius)² (height)

-- Volume of a sphere = (4/3) (pi) (radius)³

Now ... the question says that your cylinder and your sphere
have the same volume. Fine ! So you can immediately write
an equation saying that their volumes are equal.

   (pi) (radius)² (height) = (4/3) (pi) (radius)³

Divide each side by pi:    (radius)² (height) = (4/3)    (radius)³

Divide each side by (radius)²    (height) = (4/3)    (radius)

Fill in the given height: (6 cm) = (4/3) (radius)

Multiply each side by 3/4 : (6 cm) x (3/4) =   radius

I'm pretty sure that you can take over now and find the radius.

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Calcular el área y el perímetro de un círculo que tiene 50 cm de radio

gulaghasi [49]

Answer:

Area: 7850 square cm

Perimeter: 314 cm.

Step-by-step explanation:

The area is $\pi r^{2}$ . With r=50, $\pi 50^{2}$ =2500π which is about (2500)(3.14)=7850.

The perimeter is $2\pi r$ which is the same as (diameter)(π). The diameter is 100, so $100\pi$ which is about (100)(3.14)=314.

8 0

3 years ago

Kristen worked 39 hours in 6 days.

LenaWriter [7]

Answer:

39/6 = 6.5

6 hours 30 minutes

<h2><u><em>Hope it helps!!!!!brainliest pls!!!!!!!!</em></u></h2>

7 0

3 years ago

Read 2 more answers

Pleaseeeee pleaseeee helppppppppp

telo118 [61]

Given:

The two vectors are:

$\overrightarrow{a}=2\hat{i}-\hat{j}+\hat{k}$

$\overrightarrow{b}=\hat{i}-3\hat{j}+5\hat{k}$

To find:

The value of $|\overrightarrow{a}\times \overrightarrow{b}|$ .

Solution:

We have,

$\overrightarrow{a}=2\hat{i}-\hat{j}+\hat{k}$

$\overrightarrow{b}=\hat{i}-3\hat{j}+5\hat{k}$

The cross product of these two vectors is:

$\overrightarrow{a}\times \overrightarrow{b}=\begin{vmatrix}\hat{i}&\hat{j}&\hat{k}\\2&-1&1\\1&-3&5\end{vmatrix}$

$\overrightarrow{a}\times \overrightarrow{b}=\hat{i}[(-1)(5)-(1)(-3)]-\hat{j}[(2)(5)-(1)(1)]+\hat{k}[(2)(-3)-(-1)(1)]$

$\overrightarrow{a}\times \overrightarrow{b}=\hat{i}[-5+3]-\hat{j}[10-1]+\hat{k}[-6+1]$

$\overrightarrow{a}\times \overrightarrow{b}=-2\hat{i}-9\hat{j}-5\hat{k}$

Now the magnitude of the cross product is:

$|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{(-2)^2+(-9)^2+(-5)^2}$

$|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{4+81+25}$

$|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{110}$

Therefore, the value of $|\overrightarrow{a}\times \overrightarrow{b}|$ is $\sqrt{110}$ .

5 0

3 years ago

Solve by completing squares method...1/x +1/x -1 =4...please answer ASAP

maxonik [38]

Answer:

1.31, 0.19 to nearest hundredth.

Step-by-step explanation:

1/x + 1/(x - 1) = 4

Multiply through by x(x - 1):-

x - 1 + x = 4x(x - 1)

4x^2 - 4x = 2x - 1

4x^2 - 6x = -1

4(x^2 - 3.2 x) = -1

Completing the square:-

4 [ ( x - 3/4)^2 - 9/16] = -1

4(x - 3/4)^2 - 9/4 = -1

4(x - 3/4)^2 = 5/4

(x - 3/4)^2 = 5/16

x - 3/4 = +/- √5 / 4

x = √5 / 4 + 3/4 , -√5 / 4 + 3/4

= 1.31, 0.19 to nearest hundredth.

8 0

4 years ago

Using the slope formula, find the slope of the line through the given points.<br> (1,6) and (3,4)

svlad2 [7]

To find slope you do y2-y1 over x2-x1. So 4-6 is -2. And 3-1 is 2. So -2/2 is -1. The slope is -1.

7 0

3 years ago