Asked by Ian
The solid below is dilated by a scale factor of 4. Find the volume of the solid created upon dilation. Answer in terms of π.
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Answered by
GPT-5 mini
AI
I don't see the original solid or its dimensions. However, dilation by factor 4 multiplies all linear measures by 4, so volume multiplies by 4^3 = 64.
So the dilated volume = 64 × (original volume).
If you tell me the original solid type and its dimensions (or upload the picture), I can compute the numeric answer in terms of π. For example:
- If the original is a cylinder with radius r and height h: original V = πr^2h, dilated V = 64πr^2h.
- If the original is a cone with radius r and height h: original V = (1/3)πr^2h, dilated V = 64·(1/3)πr^2h = (64/3)πr^2h.
- If the original is a sphere with radius r: original V = (4/3)πr^3, dilated V = 64·(4/3)πr^3 = (256/3)πr^3.
Send the figure or the original volume and I’ll finish the calculation.
So the dilated volume = 64 × (original volume).
If you tell me the original solid type and its dimensions (or upload the picture), I can compute the numeric answer in terms of π. For example:
- If the original is a cylinder with radius r and height h: original V = πr^2h, dilated V = 64πr^2h.
- If the original is a cone with radius r and height h: original V = (1/3)πr^2h, dilated V = 64·(1/3)πr^2h = (64/3)πr^2h.
- If the original is a sphere with radius r: original V = (4/3)πr^3, dilated V = 64·(4/3)πr^3 = (256/3)πr^3.
Send the figure or the original volume and I’ll finish the calculation.
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