Sarah has a pond in the shape of a half sphere in her back yard. The pond currently holds 1,071.79 cubic inches of water. What is the radius of the pond? Sarah wants to double the volume of the pond. What will the new radius be?

9514 1404 393

Step-by-step explanation:

The volume of a hemisphere is given by the formula ...

  V = (2/3)πr³

Then the radius is ...

  r = ∛(3V/(2π))

  r = ∛(3·1071.79/(2·3.14)) ≈ ∛512.00 ≈ 8.00

The radius of Sarah's pond is 8 inches.

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We can see from the above that the radius is proportional to the cube root of the volume. If Sarah wants to double the volume, she needs to multiply the radius by ∛2 ≈ 1.260.

The new radius will be 8∛2 ≈ 10.08 inches.

13.33%

say 50 oranges, then 100 apples

80 are red, 20 are yellow

total fruit = 150

20chances out of 150 for yellow

20/150 = 13.33%

3; 9 is 8 to -4

step-by-step explanation: