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Answer:
See explanation
Step-by-step explanation:
Solution:-
- We will use the basic formulas for calculating the volumes of two solid bodies.
- The volume of a cylinder ( V_l ) is represented by:

- Similarly, the volume of cone ( V_c ) is represented by:

Where,
r : The radius of cylinder / radius of circular base of the cone
h : The height of the cylinder / cone
- We will investigate the correlation between the volume of each of the two bodies wit the radius ( r ). We will assume that the height of cylinder/cone as a constant.
- We will represent a proportionality of Volume ( V ) with respect to ( r ):

Where,
C: The constant of proportionality
- Hence the proportional relation is expressed as:
V∝ r^2
- The volume ( V ) is proportional to the square of the radius. Now we will see the effect of multiplying the radius ( r ) with a positive number ( a ) on the volume of either of the two bodies:

- Hence, we see a general rule frm above relation that multiplying the result by square of the multiple ( a^2 ) will give us the equivalent result as multiplying a multiple ( a ) with radius ( r ).
- Hence, the relations for each of the two bodies becomes:

&

Answer: no solutions
Step-by-step explanation:
Answer:
H. 2 3/4
Step-by-step explanation:
- DATE >> WATER LEVEL CHANGE (inches)
- August 25 >> -0.75
- September 8 >> -1 3/ 8
- September 22 >> 2.5
- October 6 >> -1/2
- October 20 >> 1 7/8
<u>Total change:</u>
- 1 7/8 - (-0.75) =
- 1+ 7/8 + 3/4 =
- 1 + 7/8 + 6/8 =
- 1 + 13/8 =
- 1+ 1 5/8 =
- 2 5/8
The closest answer option is H. 2 3/4