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3 years ago

What is the volume of a sphere with a surface area of 25pi

Mathematics

1 answer:

Natali5045456 [20]3 years ago

7 0

Answer:

(125/6)π units³

Step-by-step explanation:

The formula for the surface area of a sphere is A = 4πr². Solving this for r² yields:

r² = ------

4π

and in this case r² is:

25π

r² = ---------, or 25/4 units²

4π

Thus, the radius, r, is 5/2 units.

The volume of a sphere of radius r is V = (4/3)πr³ units³

Here, that volume is V = (4/3)π(5/2)³ units³

4π 125 units³

= ------ · ------------------ = (125/6)π units³

3 8

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Insert two pairs of brackets to make this statement true: -3+-2x5divided by-4+-1=5

Simora [160]

Answer:

-3 + -2x5 / -4 + -1 = 5

(-3 + -2)* 5/ (-4-1) = 5.

7 0

2 years ago

Please help me out. I don’t understand this problem.. An equation of a line through (-7,-10) which is perpendicular to the line

nordsb [41]

Answer:

The Equation:

$y = \frac{1}{3}x - \frac{23}{3}$

The y-intercept:

$-\frac{23}{3}$

Step-by-step explanation:

Things you need to know:

Perpendicular mean opposite slope.

Need to know point slope form of a linear equation $y - y_1 = x(x - x_1)$

Ok, with that out the way, lets get started!

From the equation y = -3x + 2 we can see the slope, which is -3. We are asked to find an equation that is perpendicular to that slope so that means we need an opposite slope. To turn this slope to an opposite slope flip it and change the sign

-3 = $\frac{-3}{1} = \frac{1}{3}$

Now that we have our opposite slope, which is $\frac{1}{3}$ , we can find the equation the problem is asking us to solve.

We do this by using the point (-7, -10) and our new slope, which is $\frac{1}{3}$ and by using $y - y_1 = x(x - x_1)$

Insert our point and slope into $y - y_1 = x(x - x_1)$ and solve for y

$y - y_1 = x(x - x_1)$

$y - (-10) = \frac{1}{3}(x - (-7))$

$y + 10) = \frac{1}{3}(x + 7))$

Work on the right side of the = sign

Distribute 1/3 to x and 7

$y + 10 = \frac{1}{3}(x + 7))$

$y + 10 = \frac{1}{3}x + \frac{7}{3}$

Bring the 10 over to the right side by adding a -10

$y + 10 -10= \frac{1}{3}x + \frac{7}{3} - 10$

$y = \frac{1}{3}x + \frac{7}{3} - 10$

Do the math for $\frac{7}{3} - 10 = -\frac{23}{3}$

$y = \frac{1}{3}x - \frac{23}{3}$

We are done.

The Equation:

$y = \frac{1}{3}x - \frac{23}{3}$

The y-intercept:

$-\frac{23}{3}$

7 0

3 years ago

Evaluate (p√−3)+q when p = 25 and q = 21

Artist 52 [7]

Answer:

21 + 25i√3

Step-by-step explanation:

⇒ equation: (p√−3)+q

⇒ p = 25

⇒ q = 21

Plug in:

((25)√−3) + 21

√−3 = i√3

25i√3 + 21

7 0

2 years ago

24-10x=9 What does x equal to?

katrin [286]

X=1.5 also report other dude he put anything

6 0

3 years ago

How do I simplify 55/35

Stolb23 [73]

Answer:

1 4/7

Find a number that will divide evenly into both the top number and the bottom number. (You can do any math operation to either number as long as you do the same to the bottom number.)

Keep doing that until you can't find a number that works.

In this case try 5.

55 ÷ 5 = 11 and 35 ÷ 5 = 7

so: 55/35 = 11/7

since the top number is greater than the bottom, reduce 11/7 to 1 4/7

8 0

3 years ago