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Ilya [14]
2 years ago
12

What is the radius of a sphere with a volume of 384\text{ ft}^3,384 ft

Mathematics
1 answer:
Alecsey [184]2 years ago
3 0

Answer:

r≈4.5 ft

Step-by-step explanation:

r≈4.5 ft

\text{Volume of a Sphere:}

Volume of a Sphere:

V=\frac{4}{3}\pi r^3

V=

3

4

​

πr

3

384=

384=

\,\,\left(\frac{4}{3}\pi\right) r^3

(

3

4

​

π)r

3

384=

384=

\,\,(4.1887902)r^3

(4.1887902)r

3

Evaluate 4/3pi in calc

\frac{384}{4.1887902}=

4.1887902

384

​

=

\,\,\frac{(4.1887902)r^3}{4.1887902}

4.1887902

(4.1887902)r

3

​

Evaluate \frac{4}{3}\pi

3

4

​

π in calc

91.6732472=

91.6732472=

\,\,r^3

r

3

\sqrt[3]{91.6732472}=

3

 

91.6732472

​

=

\,\,\sqrt[3]{r^3}

3

 

r

3

​

Cube root both sides

4.5090066=

4.5090066=

\,\,r

r

\text{Final Answer:}

Final Answer:

r\approx 4.5\text{ ft}

r≈4.5 ft

Round to nearest tenth

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1+2+3+4+5+6+7+8+9+1+2+3+4+5+6+7+8+9+10 times 2
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Answer:

200

Step-by-step explanation:

<u>Step 1:  Add</u>

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10

1 + 2 = 3

3 + 3 = 6

6 + 4 = 10

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45 + 1 = 46

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60 + 6 = 66

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<u>Step 2:  Multiply</u>

100 * 2

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Which statement about the function f(x)=|x+3| is true?
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The given function f(x) = |x + 3| has both an absolute maximum and an absolute minimum.

What do you mean by absolute maximum and minimum ?

A function has largest possible value at an absolute maximum point, whereas its lowest possible value can be found at an absolute minimum point.

It is given that function is f(x) = |x + 3|.

We know that to check if function is absolute minimum or absolute maximum by putting the value of modulus either equal to zero or equal to or less than zero and simplify.

So , if we put |x + 3| = 0 , then :

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So , we can have two values of x which are either -3 or 3.

The value 3 will be absolute maximum and -3 will be absolute minimum.

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