Question

Two cylinders, a and b are created cylinder a has volume v culinder b has the same height as a cylinder be has half the width of cylinder a write an expression that represents the volume of cylinder b in terms of v

Answer 1

Answer:

v/4

Step-by-step explanation:

Volume of cylinder a = v

Let the height of cylinder a is h and its radius is r. The volume of cylinder a will be:

$v=\pi r^{2}h$

Height of cylinder b is same as cylinder a. So height of cylinder b is h.

Radius of cylinder b is half of radius(width) of cylinder a. So radius of cylinder b will be r/2

The volume of cylinder b will be:

$v^{'}=\pi (\frac{r}{2} )^{2}h\\\\ v^{'}=\pi(\frac{r^{2}}{4})h \\\\ v^{'}=\frac{\pi r^{2}h}{4} \\\\ v^{'} = \frac{v}{4}$

Thus the volume of cylinder b will be v/4

Answer 2

Answer:

The volume of cylinder A is four times the volume of cylinder B.

Step-by-step explanation:

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