Volume of cylinder is 3 times of volume of cone having same base diameter and same height.
<u>Solution:</u>
Given that
A cylinder and A cone have the same diameter = 10 inches and same height = 12 inches
Need to find the relationship between volume of cylinder and cone.
Let’s calculate volume of each object separately first.
<em><u>Calculation of volume of cylinder :</u></em>
Formula of volume of cylinder is given as:
Where π=3.14
height h = 12 inches
On substituting given values in formula of cylinder we get
<em><u>Calculation of volume of cone:</u></em>
Formula of volume of cone is given as:
Here π=3.14
On substituting given values in formula of cone we get
On comparing the two volumes we get
Hence can conclude that Volume of cylinder is 3 times of volume of cone having same base diameter and same height.
Answer:
The number of visit so that both plan cost same is 10 .
Both the plan has equivalent choice of benefit
Step-by-step explanation:
Given as :
A gym has two membership plans.
For Gold plan
The charge per month = $50
The charge per visit = $3
For Platinum plan
The charge per month = $20
The charge per visit = $6
Let The number of visit for which each plan be same = n visits
Now, According to question
<u>∵ Each plan cost to be same</u>
So,
The charge per month for gold plan+ The charge per visit × numbers of visit = The charge per month for platinum plan+ The charge per visit × numbers of visit
I.e $50 + $3 × n = $20 + $6 × n
Or, $50 - $20 = $6 × n - $3 × n
Or, $30 = ($6 - $3) × n
Or, $30 = $3 × n
∴ n =
I.e n = 10
So, The number of visits = n = 10
Now, For Gold plan
The charge per month = $50
The charge per visit = $3 × 10 = $30
So, Total charge for gold plan = $50 + $30 = $80
Similarly For Platinum plan
The charge per month = $20
The charge per visit = $6×10 = $60
So, For Platinum plan ,total charge = $20 + $60 = $80
Hence, The number of visit so that both plan cost same is 10
and both the plan has equivalent benefit. Answer