The following map shows the time it takes to drive between four cities in Texas. Jacob has to drive from San Antonio to Houston,
and then from Houston to Dallas. How many hours will it take him?
The picture is supposed to be right here
Answers:
7 2/15 hours
7 5/12 hours
4 7/12 hours
7 hours
The picture is supposed to be right here
Answers:
7 2/15 hours
7 5/12 hours
4 7/12 hours
7 hours
1 answer:
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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:
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