Y=0
so, it is 6. (its my answer)
The dimensions of the can are 1.457 inches and 2.913 inches that will give the most volume
Step-by-step explanation:
Let us revise the rule of surface area and volume of a cylinder
- S.A = 2π r h + 2π r²
- V = π r² h
Forty square inches of material is available to make a cylindrical; can of tuna and water, we need to find the dimensions of the can that will give the most volume
∵ S.A = 40 inches²
∵ S.A = 2π r h + 2π r²
∴ 2π r h + 2π r² = 40
Let us use this rule to find h in terms of r
- Subtract 2π r² from both sides
∵ 2π r h = 40 - 2 π r²
- Divide both sides by 2π r
∴ 
∴ 
∴ 
∵ V = π r² h
- Substitute h by its value above
∴ 
∴ V = 20 r - π r³
To find the most volume differentiate it with respect to r and equate it by 0 to find the value of r
∵
= 20 - 3π r²
∵
= 0
∴ 20 - 3π r² = 0
- Add 3π r² to both sides
∴ 20 = 3π r²
- Divide both sides by 3π
∴ r² = 2.122
- Take √ for both sides
∴ r = 1.457 inches
To find h substitute the value of r in the expression of h
∵ 
∴ 
∴ h = 2.913 inches
The dimensions of the can are 1.457 inches and 2.913 inches that will give the most volume
Learn more:
You can learn more about volume of solids in brainly.com/question/6443737
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1) 16×10^-7
2)2×10^7
above is the answer of given equations
Answer:
29.03g
Step-by-step explanation:
The total mass of the jar and marbles combined is 1.281kg, or 1281g. Subtract the mass of the jar from this to find the total mass of the marbles (1281g - 236g = 1045g). Then, divide this number by 36 to find the mass of each marble (1045g / 36 = 29.03g).
Step-by-step explanation:
use y2-y1/x2-x1
0--9/-6--9
-9/3
-3
y=-3x+c
0=-3(-6)+c
0=18+c
18=c
therefore
y=-3x+18