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valentinak56 [21]
3 years ago
11

A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 9 inches. The height of the cone is 18 inc

hes.
Use π = 3.14.

What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work.
Mathematics
1 answer:
Elan Coil [88]3 years ago
4 0
\sf Cylinder ~volume = \pi r^2 h \\  \\ v = \pi (4)^2(9) \\  \\ v=\pi (16)(9) \\  \\ v=144 \pi  \\ v=452.16\\  \\  \\ Cone~volume = \frac{1}{3} \pi r^2 h \\  \\ v =  \frac{1}{3} \pi (4)^2 (18) \\  \\ v=96 \pi \\ v=301.44 \\  \\  \\ The~ volume ~of ~a ~cylinder ~is~ 1.5~ times~ more ~than ~the ~volume ~of~a~cone.
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