What is the area of the base of a cylinder with a volume of 174π in.3 and a height of 12 inches? 1. apply the formula for the volume of a cylinder: v = bh 2. substitute the known measures into the formula: 174π = b(12) 3. apply the division property of equality: 174π 12 = b 12 12 the area of the base of the cyclinder is π in.2.

ANSWER

The area of the base is 14.5π in²

EXPLANATION

The volume of a cylinder is given by

Or

V=Bh

It was given that the volume of the cylinder is 174π in³.

The height was given as 12 inches.

We substitute to get,

174π=12B

Divide both sides by 12 to get:

B=14.5π in²

Hence the area of the base is 14.5π in²

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

saving = more money

step-by-step explanation:

if you have 100 bucks, and you want to buy a candy bar, even if you have one at home, if you choose not to buy it, you save.

~courtney