Question

asked Oct 9, 2018 103k views

2 Answers

Grayson · Answer 1 · 2018-10-15T21:02:59+0000

Answer:

The factor is
(3)/(2) .

Explanation:

Given : Cylinders A and B are similar solids.

The base of cylinder A has a circumference of
$4\pi$ units.

The base of cylinder B has an area of
$9\pi$ units.

To find : The dimensions of cylinder A are multiplied by what factor to produce the corresponding dimensions of cylinder B?

Solution :

Let x be the factor.

So, according to question,

$\text{Dimension of cylinder A}* x = \text{Dimension of cylinder B}$ ........[1]

The dimension refer here are radius of both cylinders.

In cylinder A,

Circumference of base is
$4\pi$ units.

Circumference of base of cylinder is
$C=2\pi r$

$4\pi=2\pi r$

r=2

The dimension of cylinder A is r=2

In cylinder B,

Area of cylinder is
$9\pi$ units.

Area of base of cylinder is
$A=\pi r^2$

$9 \pi=\pi r^2$

r^2=9

r=3

The dimension of cylinder B is r=3

Substitute in [1]

2x=3

x=(3)/(2)

Therefore, The factor is
(3)/(2) .

Please log in or register to add a comment.