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The radius of the large sphere is times longer than the radius of the small sphere.

How many times the volume of the large sphere is the volume of the small sphere?
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The radius of the large sphere is times longer than the radius of the small sphere-example-1
User Martijn Welker
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1 Answer

24 votes
24 votes

Answer:

A. ¹/27

Explanation:

✔️Volume of large sphere = ⁴/3πr³

r = 18.6 in.

Volume of large square = ⁴/3*π*18.6³ = 26954.26 in.³

✔️Volume of small sphere = ⁴/3πr³

r = 6.2 in.

Volume of small sphere = ⁴/3*π*6.2³ = 998.31 in.³

✔️Ratio of the volume of the smaller sphere to the larger sphere = 998.31 : 26954.26

= 1 : 27

Therefore, the volume of the large sphere is ¹/27 of the volume of the small sphere.

User Artkoenig
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3.7k points