Lesson 10: Volumes of Familiar Solids—Cones and Cylinders

 1)  V = 37.68

               2)  V= 301.44 (Equal volumes)

Step-by-step explanation:

1) Total volume of all 3 cones =  3v, where (V) is volume for 1 cone.

Right circular cone: line segment from point to center base = height

                line segment from center base to circumference (circle) = radius

     V = b * h         b =     (r ) = 2ft     ()= 3.14    (h ) = 3ft

  V = ( ) * 3

 V = (3.14)( ) * 3  

  V = (3.14) (4) * 3

 V =  (1 )(3.14)(12)  ÷ 3

  V = 37.68  ÷ 3

 V =  12.56   then for total of all 3:  12.56 * 3 = 37.68  ( V = cubed unit)

2)  Cone: V = b * h  =  { () ( ) (8) } = { (3.14) (36) (8) ÷ 3 } = { 904.32 ÷ 3 } =        

              V = 301.44

    Cylinder: V= h = {(3.14) ( ) (6)} = { 3.14 * 16 * 6)=

                      V = 301.44

answer: i'm not sure

step-by-step explanation:

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.