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)

function 2 has a greater rate of change than function 1

function 2 has a greater y-intercept than function 1

step-by-step explanation:

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841