What is the percent increase in the surface area of the AAA battery to the AA battery? Round your answer to the nearest tenth of
a percent.
1 answer:
Answer:
101.1%
Step-by-step explanation:
The two batteries are in the shape of cylinder.
The total surface area of a cylinder
SA = (2πr^2 + 2πrh ) =
For AAA battery
h = 0.8mm
r = 1.9 mm
SA = (2π(1.9)^2 + 2π × 1.9 × 0.8 )
SA = 22.68 + 9.55
SA = 32.23 mm^2
For AA battery
h = 1 mm
r = 2.75 mm
SA = (2π(2.75)^2 + 2π×2.75× 1 )
SA = 47.52 + 17.28
SA = 64.80 mm^2
Increase in SA = 64.80 - 32.23
Increase in SA = 32.57
% increase = increase in SA/AAA × 100
% increase in SA = 32.57/32.23 × 100
% increase in SA = 101.1%
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a.) y = 3/(2ˣ)
b.) y = 1/(2ˣ)
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d.) y = (1/27)(1/√(3))ˣ
e.) y = .002908/(.119025ˣ)
f.) y = .00000004808/(.0413ˣ)
Step-by-step explanation:
Concept need to know is:
- a negative exponent will flip the numerator with the denominator
- a fraction as an exponent is just a root. so if the exponent is x^(1/2) then the root is 2 and x^(1/3) is a cube root
- adding and subtracting exponent is the same thing as multiplying the same base.
- so x^(1+2) = (x^1)(x^2)
- and x^(1-2) = (x^1)(x^-2)
