a sphere is circumscribed about an 8-inch by 8-inch by 8-inch cube. Find the volume to the nearest cubic inch.

Mathematics

1 answer:

Anit [1.1K]3 years ago

7 0

The volume of the cube is (8 x 8 x 8) = 8³ = <em>512 cubic inches</em> (exact)

You might be interested in

Solve algebraically:

vichka [17]

<h3>Answer:</h3>

$a)\ x_1=-9,\ x_2=9\\\\b)\ x_1=1,\ x_2=5$

<h3>Step-by-step explanation:</h3>

<u>Given equations:</u>

$a)\ 2x^2 - 162 = 0\\\\b) -\dfrac{1}{2}(x-3)^2=-2$

A) 2x² - 162 = 0

Step 1: Divide both sides by 2.

<h3> $\\\implies \dfrac{2x^2 - 162}{2} = \dfrac{0}{2}\\\\\implies x^2-81=0\\\\\implies x^2=81$ </h3>

Step 2: Take the square root of both sides (using both the positive and negative roots).

$\\\implies \sqrt{x^2}=\sqrt{81}\\\\\implies x=\pm\ 9$

Step 3: Separate into two cases.

$\implies x_1 = -9,\ x_2 =-9$

----------------------------------------------------------------------------------------------------------------

B) -1/2(x - 3)² = -2

Step 1: Multiply both sides by -2.

$\\\implies -2\left(-\dfrac{1}{2}(x-3)^2\right)=-2(-2)\\\\\implies (x-3)^2=4$

Step 2: Take the square root of both sides (using both the positive and negative roots).

$\\\implies\sqrt{(x-3)^2}=\sqrt{4}\\\\\implies x-3=\pm\ 2$

Step 3: Separate into two cases and solve each one. $1)\ x-3=-2\implies x=-2+3\implies \boxed{x=1}\\\\2)\ x-3=2\implies x=2+3\implies \boxed{x=5}$

6 0

2 years ago

Read 2 more answers

Can someone help me on 6 and 9?

Papessa [141]

6. instead of multiplying by 4/3 it would be 2/3 because it is half a sphere.
9. you should have multiplied by pi first then multiply by 4/3 to make it more easy for you

3 0

2 years ago

Which pair of points have a slope of -3/5?

Allushta [10]

Answer:

No of these answers has a slope of $\frac{-3}{5}$ . My guess is B becasue its close to $\frac{-3}{5}$ unless the 5 is supposed to be negative