What is the approximate volume of a can that is 5 inches tall and has a 2.5 inch diameter?

  24.5 cubic inches

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h

A can with a diameter of 2.5 inches has a radius of 1.25 inches. Filling in the given values, the volume is ...

  V = π(1.25²)(5) = 7.8125π ≈ 24.54 . . . . cubic inches

The approximate volume is 24.5 cubic inches.

See attachment for solution steps.

the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing im pretty sure that is the right answer

step-by-step explanation:

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: