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marusya05 [52]
3 years ago
11

The volumes of two-spheres are in the ratio of 8:27. The radius of the smaller sphere is 30 inches. Find the radius of the large

r sphere.
Mathematics
1 answer:
lawyer [7]3 years ago
7 0

Answer:

45 in

Step-by-step explanation:

Given 2 similar figures with ratio of radii = a : b , then

ratio of volumes = a³ : b³

Here ratio of volumes = 8 : 27 , then

ratio of radii = \sqrt[3]{8} : \sqrt[3]{27} = 2 : 3

let r be the radius of the larger sphere then by proportion

\frac{2}{30} = \frac{3}{r} ( cross- multiply )

2r = 90 ( divide both sides by 2 )

r = 45

The radius of the larger sphere is 45 in

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