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ohaa [14]
3 years ago
7

What is the approximate diameter of a sphere with a volume of 268cm3

Mathematics
1 answer:
kogti [31]3 years ago
8 0

Answer:

diameter ≈15.6

Step-by-step explanation:

To solve this;

volume of a sphere = 4/3 πr³

From the question given;

volume of the sphere = 268    

lets substitute   and solve for r

volume of sphere = 4/3 πr³

268 = 4/3 × 3.14 × r³

268 =4.19 × r³

Divide both-side of the equation by 4.19

268/4.19 = r³

63.96 = r³

Take the cube root of both-side

∛63.96 = r

7.8 ≈ r

but diameter = 2r = 2×7.8 =15.6

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jarptica [38.1K]
W= 24
Because use inverse operations so add 9 on both sides, that means the -9 on the left side is canceled out, remaining with W=24
8 0
3 years ago
Read 2 more answers
What is the length of a side of the pentagon?
sineoko [7]
The length of a side of a pentagon is 69 units.

Since the hexagon on the left has 6 sides, and all of the sides have an equal length, if you multiply the number of sides(6) by the length of one side (3x+5) you will get the perimeter of the hexagon, 6(3x+5)
This is the same for the pentagon as well, since the pentagon on the right has 5 sides, and all of the sides have an equal length, if you multiply the number of sides(5) by the length of one side (4x-1) you will get the perimeter of the pentagon, 5(4x-1)

Now we have the equation for the perimeter of the hexagon, 6(3x+5), and the pentagon 5(4x-1). Since we know that the perimeters are the same length for each shape, we can set these two formulas equal to each other

Here is how I set up my equation
6(3x+5)=5(4x-1)

Now that you have the equation, you must solve for x, which I will demonstrate the steps down below

6(3x+5)=5(4x-1)
18x+30=20x-5 (subtract 18x on both sides)
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35=2x (divide 2 on each side)
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Now that you have determined that x is 17.5, all that is left to do is plug in 17.5 into the equation that solves for one side of the pentagon(4x-1) to get the length of a side of a pentagon, which is your answer.

Here is the work if needed
4(17.5)-1
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The length of a side of a pentagon is 69 units.

I hope this helped!
Leave a comment on my answer if you have any questions on what I said here or need any more help with math.
3 0
2 years ago
A box of markers weighed 4 2/5 ounces. If a teacher took out 5/8 of the markers, what is the weight of the markers she took out?
Aliun [14]

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110/40

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6 0
3 years ago
BRAINLIEST:
Romashka-Z-Leto [24]

Answer:

2

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7 0
2 years ago
There are 8 candidates for student government: Hal, Mary, Ann, Frank, Beth, John, Emily, and Tom. The three candidates that rece
sveticcg [70]

Answer:

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3 0
3 years ago
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