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emmasim [6.3K]
3 years ago
14

What happens to the volume of a sphere when its diameter is doubled?

Mathematics
2 answers:
pochemuha3 years ago
5 0
To determine the effect of changing the diameter of a sphere to its volume, we would need to know the formula for the volume of a sphere which is V = 4πr³/3 where r is half of the diameter. As you can see, there is a direct relationship.

r1 = d1/2
r2 = d2/2 = 2d1/2 = d1

V2/V1 = (4πd1³/3) / (4π(d1/2)³/3)
V2/V1 = 8

Therefore, the volume of the sphere would be 8 times the original volume.
____ [38]3 years ago
4 0

Answer:

The Volume is 8 times greater

Step-by-step explanation:

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Can someone please do this substitution method question with the working out.
timurjin [86]

Answer:

Step-by-step explanation:

T = \frac{1}{2}m^{2}+2m - 4\\\\T = 2m + 4\\\\\frac{1}{2}m^{2}+2m - 4 = 2m + 4\\\\\frac{1}{2}m^{2}+2m - 4 - 2m - 4 = 0

Combine like terms

\frac{1}{2}m^{2}+2m - 2m - 4 - 4 = 0\\\\\frac{1}{2}m^{2} - 8 = 0\\\\\frac{1}{2}m^{2} =8\\\\m^{2} = 8*2\\\\m^{2} = 16\\\\m = \sqrt{16}

m = ± 4

6 0
3 years ago
What is the answer to this problem
Elden [556K]
I think when you have a fraction like that, you multiply the denominator on both sides obviously by the first step

1 - 3x/5 = -7

Multiply on both sides
1 - 3x/5 * 5 = -7 * 5

and Solve
1 - 3x = -35

Subtract 1 from both sides of the equation
-3x = -36

Divide both sides by -3
-3x / -3 = -36 / -3 (← answer)
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Hope it helps
4 0
3 years ago
What is the volume of a sphere with a surface area of 452.39cm^2? Round to the nearest hundredth.
horrorfan [7]
The answer is 904.78cm³ Hope I helped, please rate brainliest.
3 0
3 years ago
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Samuel has an ant farm with a volume of 375 cubic inches. The width of the ant farm is 2.5 inches and the length is 15 inches. W
Alexxandr [17]

Answer:

Step-by-step explanation:

From the given information, it is clear that the shape of ant form is rectangular prism.

Let us write formula for volume of rectangular prism (ant form)

V = l x w x h

Use the formula to write an equation.

Plug V = 375, w = 2.5 and l = 15

375 = 15 x 2.5 x h

375 = 37.5 x h

Divide both sides of the equation by 37.5

375/37.5 = (37.5 x h)/37.5

10 = h

Hence, the height of the form is 10 inches.

6 0
3 years ago
How do I solve this finding the first four of the sequence?
irga5000 [103]

Answer:

Step-by-step explanation:

a(1) = -7 (given)

a(2) = a(1) + 4 = -7 + 4 = -3

a(3) = a(2) + 4 = -3 + 4 = 1

a(4) = a(3) + 4 = 1 + 4 = 5

and so on.

4 0
3 years ago
Read 2 more answers
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