The base diameter and the height of a cone are both equal to x units. which expression represents the volume of the cone, in cubic units?

Step-by-step explanation:

The volume of a cone has the following form:

In this case we know that:

and

Therefore the Volume is:

Finally the expression that represents the volume of the cone, in cubic units is:

V = Πx³/12 units³

Step-by-step explanation:

Volume of a cone = 1/3Πr²h where

r is the base radius of the cone and h is its height

If the base diameter and the height of a cone are both equal to x units, the radius of the cone will become;

radius = diameter/2 = x/2 units

Height = x units

Substituting the value of the radius and height into the volume of the cone, we have;

V = 1/3Π(x/2)² × x

V = 1/3Π(x³/4)

V = Πx³/12 units³

Therefore the volume of the cone, in cubic units is expressed as

V = Πx³/12 units³

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

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves