How does the volume of a cylinder with a radius of 3 units and a height of 12 units compare to the volume of a rectangular prism with dimensions 16 units x 16 units x 9 units?

a. The volume of the cylinder is greater than the the volume of the prism

b. The volume of the cylinder is smaller than the volume of the prism.

C. The volume of the cylinder is the same as the volume of the prism

d.You cannot compare the volumes of different shapes

Respuesta :

Answer: B. The volume of the cylinder is smaller than the volume of the prism.

Step-by-step explanation

Did the test!

The volume of the cylinder is smaller than the volume of the prism.

We have given that,

a. The volume of the cylinder is greater than the volume of the prism

b. The volume of the cylinder is smaller than the volume of the prism.

C. The volume of the cylinder is the same as the volume of the prism

d.You cannot compare the volumes of different shapes

We have to determine the,

the volume of a cylinder with a radius of 3 units and a height of 12 units compared to the volume of a rectangular prism with dimensions 16 units x 16 units x 9 units.

What is the volume of a cylinder?

[tex]v=\pi r^2h[/tex]

The volume of the cylinder is smaller than the volume of the prism.

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