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Mamont248 [21]
3 years ago
11

if the circumference of a round barn is 56 meters, what is the diameter of the barn to the nearest whole number? use 3.14 for pi

Mathematics
1 answer:
jeka57 [31]3 years ago
7 0

circumference = 2 x pi x r

56 = 2 x 3.14 x r

56 = 6.28 x r

r = 56/6.2

r = 8. 917

d = 8.917*2 = 17.8

diameter = 18 meters

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75 points. Will give certified if work is shown and the answer is correct.
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Volume of the second dwarf planet (r₂ = 829 mi):

V_2=\dfrac{4}{3}\cdot\pi\cdot r_2^3=\dfrac{4}{3}\cdot\pi\cdot 829^3=\dfrac{2278891156}{3}\pi\approx7.5963\cdot10^8\pi\,\text{mi}^3

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or if we want exact value (we use (a³-b³) = (a-b)(a²+ab+b²) ):

V_1-V_2=\dfrac{4}{3}\cdot\pi\cdot r_1^3-\dfrac{4}{3}\cdot\pi\cdot r_2^3=\dfrac{4}{3}\pi(r_1^3-r_2^3)=\dfrac{4}{3}\pi(832^3-829^3)=\\\\\\=\dfrac{4}{3}\pi(832-829)(832^2+832\cdot829+829^2)=\\\\\\=\dfrac{4}{3}\pi\cdot3(692224+689728+687241)=4\pi\cdot2069193=\boxed{8276772\pi\,\text{mi}^3}
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