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dezoksy [38]
2 years ago
13

Find the volume of each sphere. Be sure to include appropriate units. (Show your work)

Mathematics
1 answer:
babunello [35]2 years ago
6 0

Answer:

2145.5m^3

679.2yard

Step-by-step explanation:

v

volume \: of \: a \: sphere =  \frac{4}{3}\pi \: r {}^{3}  \\ when \: r = 8 \\ volume =  \frac{4}{3}  \times  \frac{22}{7}  \times 8 {}^{3}  \\ volume =  \frac{4}{3}  \times  \frac{22}{7} \times 8 \times 8 \times 8 \\ volume =  \frac{4 \times 22 \times 512}{3 \times 7}   \\ volume =  \frac{45056}{21}  \\ volume = 2145.5m {}^{3}  \\  \\ for \: the \: second \: shape \\ volume =  \frac{4}{3}  \times  \frac{22}{7}  \times 5.5 {}^{3}  \\  =  \frac{4}{3}  \times  \frac{22}{7}  \times 166.373 \\  =  \frac{14641}{21}  \\  = 697.2yard

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The width of a rectangle is 3 feet longer than it's length. What's the dimensions of the rectangle such that the perimeter of th
Varvara68 [4.7K]
So hmm check the picture below

what's the width? well, w = l + 3

5 0
3 years ago
A bolt has 16-1/2 turns per inch. How many bolts would be in 2-1/2 inches?
ohaa [14]

Answer:

41 1/4

Step-by-step explanation:

Change 16  1/2 to a mixed number

16 1/2 = (2*16+1)/2 = 33/2

Change 2 1/2 to a mixed number = (2*2+1)/2 = 5/2

Multiply the turns per inch by the inches

33/2 * 5/2 =165/4

Change this back to a mixed number

4 goes into 165 41 times

41*4 = 164   there is 1 left over

41 1/4

6 0
3 years ago
Read 2 more answers
-4/9 + (-1/3) ? Helppppp
Alex

Answer:

- 7/9

Step-by-step explanation:

-4/9 + (-1/3)

= -(4/9) - (1/3)

= - (4/9 + 1/3)

= - (4/9 + 3/9)

= - [(4 + 3) / 9 ]

= - 7/9

5 0
3 years ago
A rectangular swimming pool that is 10 ft wide by 16 ft long is surrounded by a cement sidewalk of uniform width. If the area of
Alchen [17]
We are asked to solve for the width "x" in the given problem. To visualize the problem, see attached drawing.
We have the area of the swimming pool such as:
Area SP = l x w
Area SP = 10 * 16
Area SP = 160 feet2
Area of the swimming pool plus the sidewalk with uniform width:
Area SP + SW = (10 + x) * (16 + x)
160 + 155 = 160 + 10x + 16x + x2
160 -160 + 155 = 26x + x2
155 = 26 x + x2
x2 + 26x -155= 0
Solving for x, we need to use quadratic formula and the answer is 5 feet.

The value of x is <span>5 feet. </span>

5 0
3 years ago
A company produces x units of a product per month, where c(x) represents the total cost and r(x) represents the total revenue fo
Nat2105 [25]

Answer:

The total profit P(x) or the month is P(x)=-0.5x^2+500x-350.

Step-by-step explanation:

A company produces x units of a product per month.

The total cost represents by the function C(x).

C(x)=300x+250

The total revenue represents by the function R(x).

R(x)=-0.5x^2+800x-100

The profit is the difference between revenue and cost.

P(x)=R(x)-C(x)

P(x)=-0.5x^2+800x-100-(300x+250)

P(x)=-0.5x^2+800x-100-300x-250

Combine like terms.

P(x)=-0.5x^2+(800x-300x)+(-100-250)

P(x)=-0.5x^2+500x-350

Therefore, the total profit P(x) or the month is P(x)=-0.5x^2+500x-350.

5 0
3 years ago
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