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NCERT Question 15 - Chapter 17 Class 8 - Stars and the Solar System

Last updated at June 11, 2021 by

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NCERT Question 15 The radius of Jupiter is 11 times the radius of the Earth. Calculate the ratio of the volumes of Jupiter and the Earth. How many Earths can Jupiter accommodate? Let radius of earth = x Since, radius of Jupiter is 11 times the radius of the Earth Radius of Jupiter = 11x Now, (π‘‰π‘œπ‘™π‘’π‘šπ‘’ π‘œπ‘“ π½π‘’π‘π‘–π‘‘π‘’π‘Ÿ)/(π‘‰π‘œπ‘™π‘’π‘šπ‘’ π‘œπ‘“ πΈπ‘Žπ‘Ÿπ‘‘β„Ž) = (4/3 πœ‹ (π‘…π‘Žπ‘‘π‘–π‘’π‘  π‘œπ‘“ π½π‘’π‘π‘–π‘‘π‘’π‘Ÿ)^3)/(4/3 πœ‹ (π‘…π‘Žπ‘‘π‘–π‘’π‘  π‘œπ‘“ πΈπ‘Žπ‘Ÿπ‘‘β„Ž)^3 ) = (π‘…π‘Žπ‘‘π‘–π‘’π‘  π‘œπ‘“ π½π‘’π‘π‘–π‘‘π‘’π‘Ÿ)^3/(π‘…π‘Žπ‘‘π‘–π‘’π‘  π‘œπ‘“ πΈπ‘Žπ‘Ÿπ‘‘β„Ž)^3 = (11π‘₯)^3/(π‘₯)^3 = (γ€–11γ€—^3 Γ—γ€– π‘₯γ€—^3)/π‘₯^3 = γ€–11γ€—^3 = 1331 Thus, ratio of the volumes of Jupiter and the Earth is 1331:1 Therefore, Jupiter can accommodate 1331 Earths

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