If the radii of the two spheres is 5 8 what is the ratio of their volumes?

If the radii of the two spheres is 5 8 what is the ratio of their volumes?
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Last Answer : NEED ANSWER

Two solid spheres made of the same metal have weights 5920 g and 740 g, respectively. -Maths 9th

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The volume of two spheres are in the -Maths 9th

Description : The volume of two spheres are in the -Maths 9th

Last Answer : Let r1 and r2 be the radii of two spheres . Then, the ratio of their volumes is given by 4/3πr13/4/3πr23 = 64/27 (r1/r2)3 = (4/3)3 ⇒ r1/r2 = 4/3 Now, ratios of surface areas of two spheres = 4/3πr12/4/3πr22 = (r1/r2)2 = (4/3)2 = 16/9 ∴ Required ratio = 16 : 9

Two solid spheres made of the same metal -Maths 9th

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Last Answer : Let r and R be the radii of the smaller and larger spheres respectively. We have, r = 5/2 cm Volume of the smaller sphere = 4/3πr3 = 4/3π(5/2)3 cm3 = 4/3 x π x 125/8 cm3 Density of metal = Mass/Volume = 740/4/3 x 125/8π ... ⇒ R3 = 5920 x 125/740 x 8 = 125 ⇒ R3 = 53 ⇒ R = 5 cm

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Last Answer : Both the spheres will reach the ground simultaneously.

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