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(a) Assume that Earth is spherical with radius of 6378.1 km. What is the volume of Earth? Express your answer to 4 significant digits. (4 points.) (b) If the mass of Earth is 5.972 x 1024 kg, use your answer to part (a) to compute the average density of Earth. Express your answer to 4 significant digits in units of g cm³. (4 points.) (c) How does this mean density for the whole Earth compare with the density of minerals found in rock samples from the upper mantle (olivine, pyroxene, garnet)? Reference density values are provided below. Does the comparison surprise you or not? Why or why not? (5 points.) Densities of upper mantle minerals (g cm³) Olivine Pyroxene Garnet 3.31 3.34 4.16 Typical Mix (40% Olivine, 50% Pyoxene, 10% Garnet) 3.39

(a) Assume that Earth is spherical with radius of 6378.1 km. What is the volume of Earth? Express your answer to 4 significant digits. (4 points.) (b) If the mass of Earth is 5.972 x 1024 kg, use your answer to part (a) to compute the average density of Earth. Express your answer to 4 significant digits in units of g cm³. (4 points.) (c) How does this mean density for the whole Earth compare with the density of minerals found in rock samples from the upper mantle (olivine, pyroxene, garnet)? Reference density values are provided below. Does the comparison surprise you or not? Why or why not? (5 points.) Densities of upper mantle minerals (g cm³) Olivine Pyroxene Garnet 3.31 3.34 4.16 Typical Mix (40% Olivine, 50% Pyoxene, 10% Garnet) 3.39

Applications and Investigations in Earth Science (9th Edition)
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
Problem 1LR
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| (a) Assume that Earth is spherical with radius of 6378.1 km. What is the volume of Earth? Express your answer to 4 significant digits. (4 points.) (b) If the mass of Earth is 5.972 x 1024 kg, use your answer to part (a) to compute the average density of Earth. Express your answer to 4 significant digits in units of g cm³. (4 points.) (c) How does this mean density for the whole Earth compare with the density of minerals found in rock samples from the upper mantle (olivine, pyroxene, garnet)? Reference density values are provided below. Does the comparison surprise you or not? Why or why not? (5 points.) Densities of upper mantle minerals (g cm³) Olivine Pyroxene Garnet 3.31 3.34 4.16 Typical Mix (40% Olivine, 50% Pyoxene, 10% Garnet) 3.39
Transcribed Image Text:| (a) Assume that Earth is spherical with radius of 6378.1 km. What is the volume of Earth? Express your answer to 4 significant digits. (4 points.) (b) If the mass of Earth is 5.972 x 1024 kg, use your answer to part (a) to compute the average density of Earth. Express your answer to 4 significant digits in units of g cm³. (4 points.) (c) How does this mean density for the whole Earth compare with the density of minerals found in rock samples from the upper mantle (olivine, pyroxene, garnet)? Reference density values are provided below. Does the comparison surprise you or not? Why or why not? (5 points.) Densities of upper mantle minerals (g cm³) Olivine Pyroxene Garnet 3.31 3.34 4.16 Typical Mix (40% Olivine, 50% Pyoxene, 10% Garnet) 3.39
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