13. If the radius of a cylinder is decreased by
what will be the effect on the volume of the cylinder?

Step-by-step explanation:

If the radius of a cylinder is increased by 20% and its height is decreased by 10%.

To find : What is the percentage change in the volume?

Solution :

Let r be the radius of cylinder is increased by 20%

i.e,

The old radius is 5 and new radius is 6.

Let h be the height of cylinder is increased by 10%

i.e,

The old height is 10 and new height is 11.

The volume of old cylinder with r=5 and h=10

The volume of new cylinder with r=6 and h=11

Volume change is

Percentage change is

Therefore, The percentage change in the volume is 6.4%.

4.0

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step-by-step explanation:

this woman was an important writer and propagandist during the american revolution. she was a member of the committee of correspondence (in fact the committee was formed in her home) and was an advisor to many of the revolutionary leaders, including george washington and john adams. who was this revolutionary woman?

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2