1) Iron in the asteroid 16 Psyche is said to be valued at 8973 quadrillion euros (EUR), where one quadrillion 10¹5. James believes the asteroid is approximately spherical with radius 113 km. He uses this information to estimate its volume. a) Write down the value of the iron in the form a x 10k where 1 < a < 10, keZ. b) Calculate James's estimate of its volume, in km³. c) The actual volume of the asteroid is found to be 6.074 x 106 km³. Find the percentage error in James's estimate of the volume.
1) Iron in the asteroid 16 Psyche is said to be valued at 8973 quadrillion euros (EUR), where one quadrillion 10¹5. James believes the asteroid is approximately spherical with radius 113 km. He uses this information to estimate its volume. a) Write down the value of the iron in the form a x 10k where 1 < a < 10, keZ. b) Calculate James's estimate of its volume, in km³. c) The actual volume of the asteroid is found to be 6.074 x 106 km³. Find the percentage error in James's estimate of the volume.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Transcribed Image Text:1) Iron in the asteroid 16 Psyche is said to be valued at 8973 quadrillion euros (EUR), where one quadrillion
10¹5. James believes the asteroid is approximately spherical with radius 113 km. He uses this information to
estimate its volume.
a) Write down the value of the iron in the form a x 10k where
1 < a < 10, keZ.
b) Calculate James's estimate of its volume, in km³.
c) The actual volume of the asteroid is found to be 6.074 x 106 km³.
Find the percentage error in James's estimate of the volume.
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