Answer:
The new volume is 1/343 of the old volume or the ratio of the new volume to the old volume is 1 to 343
Step-by-step explanation:
In this question, we are asked to state the effect of multiplying the radius of a sphere by 1/7 on the volume.
Mathematically, the volume of a sphere V can be calculated using the formula
V = 4/3 * π * r^3
Now multiplying the radius by 1/7, the new radius will be r/7
Thus the new volume here will be
V2 = 4/3 * π * (r/7)^3
V2 = 4/3 * π * (r^3)/343
Thus we can conclude that the value of the volume will be decreased by a factor of 343
Meaning the ratio of the old volume to the new volume will be 1 to 343
The scale of the drawing is 6 feet = 17 inches
Scaling is the process of increasing or reducing the size of a figure by a factor k.
In the given statement is:
Shane made a scale drawing of a hotel. a room in the hotel, which is 18 feet wide in real life, is 51 inches wide in the drawing.
A figure which is 18 feet wide in real life, is 51 inches wide in the drawing, hence the scale is:
Now, According to the question is
18 feet = 51 inches
Divide both sides by 3:
6 feet = 17 inches
Therefore, the scale of the drawing is 6 feet = 17 inches
Learn more about The scale of drawing at:
brainly.com/question/21904606
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IT 387
u austistic are u sure u are in college
