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2 years ago

Which statement is true?

Mathematics

1 answer:

Morgarella [4.7K]2 years ago

5 0

A is the correct answer

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Please help me with this

horrorfan [7]

Answer:

$\dfrac{4000\pi}{3}$ ft³

Step-by-step explanation:

First, let's figure out how to get the volume of a sphere from its surface area. If r is the radius of our sphere, then

The formula for a sphere's surface area is $A = 4\pi r^2$

The formula for a sphere's volume is $V=\frac{4}{3}\pi r^3$

So to get from area to volume, we have to divide the area by 3 and then multiply it by r. Mathematically:

$V=\frac{A}{3}r$

Before we solve for V though, we need to find the radius of our sphere. Thankfully, we're given the surface area - $400\pi$ ft² - so we can use the area formula to find that radius:

$A=4\pi r^2=400\pi\\r^2=100\\r=10$

And now that we have our radius, we can put it into our volume formula to find

$V=\frac{A}{3} r=\frac{400\pi}{3}(10)=\frac{4000\pi}{3}$ ft³

4 0

2 years ago

Help! Urgent request

TiliK225 [7]

Answer: 6 students

What we know:

Students: 24

Students who play checkers: $\frac{2}{3}$

Students who also play sudoku: $\frac{3}{8}$ of the $\frac{2}{3}$

24 ÷ 3 = 8, so 8 × 2 = 16 (students who play checkers)

$\frac{3}{8}$ × 2 = $\frac{6}{16}$

So the answer is,

6 students play both checkers and sudoku

8 0

2 years ago

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Ray is reading a book of 150 pages at a constant rate of 25 pages per hour. Let’s consider the following function: the pages lef

sineoko [7]

Question:

R U CONSTIPATED?

4 0

2 years ago

I cant feel my hand helppppppp

suter [353]

Answer: Are you ok?

Step-by-step explanation:

3 0

2 years ago

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Find the quotient of quantity of 3 times x to the 3rd power plus 9 times x to the 2nd power minus 6 times x all over negative 3

ki77a [65]

-x^2 -3x + 2
------------------------------
-3x ) 3x^3 + 9x^2 - 6x
3x^3
9x^2
-6x

answer is -x^2 - 3x + 2

3 0

2 years ago

Read 2 more answers