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shusha [124]
3 years ago
5

The area (A) of a circle with a radius of r is given by the formula and its diameter (d) is given by d = 2r. What is the correct

5 step sequence of equations to rewrite the formula for diameter in terms of the area of the circle?
Mathematics
1 answer:
liubo4ka [24]3 years ago
3 0
A= pi×r^2 r=(1/2)d
A=pi×(1/2)d×(1/2)d
A=pi×0.5d×0.5d
A=pi×(0.5)^2 × d^2
A=pi×0.25d^2
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Maggie and Amelia filled up 40 water balloons shaped like spheres. Each water balloon had a radius of 6.5 cm.​
jenyasd209 [6]

The total volume of the 40 sphere shaped water balloons is 46032.38 cubic cm.

Radius of 1 sphere = 6.5 cm

We know that the volume of the sphere is given by 4/3 π r³

We will take the radius as 6.5 cm and π as 22/7

Now we will find the volume : 4/3 ×22/7×6.5³ = 1150.81 cubic cm.

Volume of 40 such spheres = 40 × 1150.81 = 46032.38 cubic cm.

The radius of all the spheres are 46032.38 cubic cm.

A sphere is a geometrical entity with three dimensions that resembles a two-dimensional circle. A sphere is a group of points in three dimensions that are all situated at the same r-distance from one another.

The supplied point is the sphere's center, while the letter r stands for the sphere's radius which is half the diameter. The earliest known allusions to spheres are found in the works of two ancient Greek mathematicians.

Therefore total volume of the 40 sphere shaped water balloons is 46032.38 cubic cm .

Disclaimer: The complete question is : Maggie and Amelia filled up 40 water balloons shaped like spheres. Each water balloon had a radius of 6.5 cm.​Find the total volume of water required.

To learn more about sphere visit:

brainly.com/question/9994313

#SPJ9

3 0
1 year ago
Write an equation for the graph shown
Dimas [21]
It is number 3. Have a good day.
3 0
3 years ago
All formulas have how many variables?
Misha Larkins [42]

Answer:

The correct option in this case is A.) more than one.

Step-by-step explanation:

All formulas have how many variables?

The correct option in this case is A.) more than one.

8 0
3 years ago
Wirte a decimal for each of the following 9x100+2x10+3x0.1+7x0.001
borishaifa [10]

We need to perform multiplication and addition property for this problem to represent the final result in decimal form. So, the expression is,

9x100+2x10+3x0.1+7x0.001 .

Now 9 x 100= 900

2 x= 10= 20

3x0.1= 0.3

7x 0.001=0.007

Now we can all the numbers. Hence,

900+20+0.3+0.007=920.307

So, the decimal number is 930.307.

4 0
3 years ago
Solve for x -<br><br><img src="https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20%2B%205x%20%2B%206%20%3D%200%20%5C%5C%20%5C%5C%20" id="T
Volgvan

Hello,

x² + 5x + 6 = 0

a = 1 ; b = 5 ; c = 6

∆ = b² - 4ac = 5² - 4 × 1 × 6 = 25 - 24 = 1 > 0

2 solutions :

x_{1} =  \frac{ - b -  \sqrt{\Delta} }{2a}  =  \frac{ - 5 - 1}{2 \times 1}  =  \frac{ - 6}{2}  =  - 3

x_{2} =  \frac{ - b  +   \sqrt{\Delta} }{2a}  =  \frac{ - 5  + 1}{2 \times 1}  =  \frac{ - 4}{2}  =  - 2

S = { -3 ; -2}

3 0
2 years ago
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