To find the volume of the smaller cylinder you will need to determine the scale factor by comparing the 2 cylinders. The scale factor is 1:2. This means that each dimension will be divided by 2 when going from the larger to the smaller figure.
Because volume is a three dimensional measurement, you need to divide 9648 by 2, three times.
9648/2=4824
4824/2=2412
2412/2=1206 cubic inches
The volume of the smaller container is 1206 cubic inches.
Answer: 7 π r² + π r³
Explanation:
1) The general formula for the volumen, V, of a cylinder with radius r and height h is:
V = π r² h
2) Now you have the condition that the height is 7 inches greater than the radius, that is:
h = 7 + r
3) Replace h with its expression
V = π r² (7 + r)
4) Expand the product (use distributive property):
V = π (7r²) + π r³ = 7 π r² + π r³
Answer: 7 π r² + π r³
Answer:
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