Assume that the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder. Based on this assumption, the volume of the flask is cubic inches. If both the sphere and the cylinder are dilated by a scale factor of 2, the resulting volume would be times the original volume.
Answers
Given : flask shown in the diagram can be modeled as a combination of a sphere and a cylinder. both the sphere and the cylinder are dilated by a scale factor of 2,
To find : the resulting volume would be how many times the original volume.
Solution:
Let say Radius of Cylinder = C & Height = H
& Radius of Sphere = S
Volume of Cylinder = π (C)² H
Volume of Sphere = (4/3) πS³
Total Volume = π (C)² H + (4/3) πS³
f both the sphere and the cylinder are dilated by a scale factor of 2,
=> C = 2C & H = 2H S = 2S
Volume of Dilated Cylinder = π (2C)² 2H
Volume of Dilated Sphere = (4/3) π(2S)³
= 8 π (C)² H + 8 * (4/3) πS³
= 8 ( π (C)² H + (4/3) πS³ )
= 8 ( original Volume)
resulting volume would be 8 times the original volume.
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Answer:
It is right
Step-by-step explanation:
Its just by 4 and 6