Asphere of radius 2.3 cm fits exactly in a cylinder with the same radius. complete the steps to determine the volume of space in the cylinder that is not being taken up by the sphere. calculate the volume of the cylinder to the nearest tenth. v = cm3 calculate the volume of the sphere to the nearest tenth. v = cm3 determine the of the volumes to find the leftover space. the volume of space in the cylinder that is not being taken up by the sphere is about cm3.

Part 1) The volume of the cylinder is

Part 2) The volume of the sphere is

Part 3) Determine the difference of the volumes to find the leftover space

Part 4) The volume of space in the cylinder that is not being taken up by the sphere is about

Step-by-step explanation:

step 1

Calculate the volume of the cylinder

we have

-----> the height is the diameter of the sphere

substitute the values

step 2

Calculate the volume of the sphere

we have

substitute the values

step 3

Determine the difference of the volumes to find the leftover space

therefore

The volume of space in the cylinder that is not being taken up by the sphere is about

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

step-by-step explanation: