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1 answer:
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Answer:
8 times larger.
Step-by-step explanation:
The radius of the large sphere is double the radius of the small sphere.
Question asked:
How many times does the volume of the large sphere than the small sphere
Solution:
<u>Let radius of the small sphere = </u><u />
<u>As the radius of the large sphere is double the radius of the small sphere:</u>
Then, radius of the large sphere =
To find that how many times is the volume of the large sphere than the small sphere, we will <em><u>divide the volume of large sphere by volume of small sphere:-</u></em>
For smaller sphere:
For larger sphere:
Now, we will divide volume of the larger by the smaller one:
<u>Now, we have</u>
=
Therefore, the volume of the large sphere is 8 times larger than the smaller sphere.
Solution-
Capacity of the spherical tank = 800 gallons.
1 gallon = 0.1337 ft³,
Volume of 800 gallons = 800 × 0.1337 = 106.96 ft³
Formula for the volume of sphere
Equating both the volumes
⇒ = 106.96
⇒ = 25.53
⇒
⇒ r = 2.94
∴ Radius of the sphere is 2.94 ft