The volume of the cylinder is 144 pi cubic yards. of h, the height of the cylinder is 4, what is r, the radius of the base?
a.10
b.15
c.13
d.6

6 yd (Answer D)

Step-by-step explanation:

The formula for the volume of a cylinder of radius r and height h is

V = πr²h.

Here, this V = πr²h equals 144π yd³.

We must solve πr²h =  144π yd³ for r with the constraint that h = 4 yd.

Replacing h with 4 yd:

πr²(4 yd) =  144π yd³

Dividing both sides by π, we get:

4r² yd = 144 yd³

                                       144 yd³

Solving for r²:         r² = = 36 yd²

                                         4 yd

Taking the square root of both sides, we get r = 6 yd   (Answer D)

correct answer:

b.(19,-2)

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.