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WINSTONCH [101]
1 year ago
12

Carlos went to PetSmart to get his hamster an exercise ball. There was a small one with a 5 inch diameter and a 13 inch ball. Ho

w much more space (volume) is in the larger than the smaller? Round to the nearest tenth.

Mathematics
1 answer:
myrzilka [38]1 year ago
4 0

The amount of space (volume) that is in the larger spherical ball than the smaller = 1,084.8 in.³

<h3>What is the Volume of a Sphere/Spherical Solid?</h3>

To find the volume of a sphere, which is the amount of space the solid contains, the formula used is given as: 4/3 πr³, where r is the radius of the sphere, which is half the measure of the diameter. Volume of sphere (V) = 4/3 πr³.

Diameter of the smaller spherical ball = 5 inches

Radius of the smaller spherical ball = 5/2 = 2.5 inches

Volume of the smaller spherical ball = 4/3 πr³ = 4/3 × π × 2.5³

Volume of the smaller spherical ball ≈ 65.5 in.³

Diameter of the larger spherical ball = 13 inches

Radius of the larger spherical ball = 13/2 = 6.5 inches

Volume of the larger spherical ball = 4/3 πr³ = 4/3 × π × 6.5³

Volume of the larger spherical ball ≈ 1,150.3 in.³

The amount of space (volume) that is in the larger spherical ball than the smaller = 1,150.3  - 65.5

The amount of space (volume) that is in the larger spherical ball than the smaller = 1,084.8 in.³

Learn more about the volume of sphere on:

brainly.com/question/22807400

#SPJ1

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