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olga nikolaevna [1]
4 years ago
12

Which solid has a greater volume?

Mathematics
1 answer:
Lady_Fox [76]4 years ago
5 0

Answer:

C

Step-by-step explanation:

The volume of a cone is given by  V=\frac{1}{3}\pi r^2h

The volume of a cylinder is given by  V=\pi r^2 h

<em>Where h is the height and r is the radius</em>

The first figure is a cone with height 6 and radius 5, we can put it into the formula and find the volume:

\frac{1}{3}\pi r^2 h\\\frac{1}{3}\pi (5)^2 (6)\\=157.08

The second figure is a cylinder with height 50 and radius 1, we can put it into the formula and find the volume:

\pi r^2 h\\\pi (1)^2 (50)\\=157.08

We can see that they are equal. So answer choice C is right.

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