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ohaa [14]
2 years ago
13

A sphere has a radius of 9 in, which means its volume is 972π in3. The sphere is dilated by 2⁄3. What is the volume of the new s

phere?
Mathematics
2 answers:
Minchanka [31]2 years ago
8 0

Answer:

I have this same question on my math test.

Since the <em>radius is 9</em>, the diameter is 18.

The shape is being <em>dilated by 2/3, so the new radius is 6</em>.

Volume formula: V = 4/3πr^3

So now we plug in the values.

V = 4/3 x π x (6)^3

V = 4/3 x π x 216

V = 288π

If the answers <em>do not</em> have the pi symbol present, then it <em>has been multiplied into the answer.</em>

288 x 3.14 = 904.32

The new volume of the sphere is 904.32 in^3

swat322 years ago
3 0

Answer:

08-Oct-2009 — If a spherical balloon has a volume of 972 pi cubic centimeters, what is ... is 4.pi.r^2 (its area remember not volume) as 4/3.pi.r^3=972pi r=9 ... and it is good to know the squares of the next 10 numbers.

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5 0
3 years ago
Is 1/4 equivalent to 6/10?
abruzzese [7]
  • Answer:

1/4 ≠ 6/10

  • Step-by-step explanation:

⁵⁾1/4 = 5/20

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5/20 ≠ 12/20

1/4 ≠ 6/10

8 0
3 years ago
Jill's mother limited her xbox 1 playing to 10 hours per week. she played on only four days, a different amount of time each day
Brrunno [24]
You have to find out how much time she played on Saturday, Wednesday, Friday, and Sunday. Let's look at the facts.
Sunday: No info is given.
Friday: She played the least of all four days
Saturday: Twice as much as Wednesday
Wednesday: No info is given.

We can write a problem and solve from this information. Let's use the variable W for Wednesday. Saturday is 2W. So whatever number Wednesday has, multiply it by 2. All of the total numbers should equal 10.

Since Friday was played the least amount, we know that every other day has to be at least 2 hours or above, so that Friday can be 1 hour. Sunday we have no info given.

This is a bit of guess and see for this problem. Let's say that Friday was 1 hour, Wednesday was 2, Sunday was 3, and Saturday was 4. Total that equals 10. Let's check to varify that these numbers are correct.

Friday was the least amount of hours of any day, which is why it is 1.
Wednesday had 2 hours, and Saturday had twice that many, which is 4.
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6 0
3 years ago
I need help with this exponential function problem, please show work :)
andreev551 [17]

Answer:

a = 12. b =1/6. g(x) = 12(1/6)^x

Step-by-step explanation:

g(x) =a * b^x.

First we should use the give values to us in the table which are x=0 then g(x) = 12 and if x =1, then g(x) = 2. We should plug in the value where x = 0 since any value to the power of 0 is 1. 12= a *b^0. 12=a *1. Then we will get the value of a which is 12. Then we plug in our second given value to find b. 2 = 12 * b^1. First we will divide both sides by 12 to find b. 2/12 = 1/6. since any value to the power of 1 is itself then b =1/6. Then you will have a = 12. b =1/6 so g(x) = 12(1/6)^x

8 0
3 years ago
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