Three friends go grocery shopping together, and each buys the same kind of strawberries. Akio buys 2 pounds (lb) and pays $1.50.
Gordon buys 3 pounds and pays $2.25. Maria buys 4 pounds and pays $3.00. Identify the graph and unit price that represent the strawberry costs.
2 answers:
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For this case we have by definition, that the volume of a sphere is given by:
Where:
r: It is the radius of the sphere
If the radius is divided by 3 we have:
ANswer:
the volume decreases considerably because the denominator increases
Answer:
Step-by-step explanation:
Given
Represent volume with v, height with h and radius with r
Required
Determine the values of h and r that uses the least amount of material
Volume is calculated as:
Substitute 432π for V
Divide through by π
Make h the subject:
Surface Area (A) of a cylinder is calculated as thus:
Substitute for h in
Factorize:
To minimize, we have to differentiate both sides and set
Set
Divide through by
Cross Multiply
Divide through by 2
Take cube roots of both sides
Recall that:
Hence, the dimension that requires the least amount of material is when