I WILL MARK THE BRAINLIEST. The diameter of the base of a cone measures 8 units. The height of the cone is 6 units. What is the volume of the cone in terms of pi?

a. 32pi units^3

b. 64pi units^3

c. 48pi units^3

d. 24pi units^3

Option A

32 pi units ^3

Step-by-step explanation:

The volume of a cone is given by

V=⅓πr²h

Where V is the volume, r is the radius and h is the height.

Given the diameter of base as 8 units, the radius will be half of this hence 4 units.

Substituting 4 units for r and 6 units for h then the volume will be

V=⅓π*4²*6=32π units³

Therefore, the volume is 32π units³ as given in the first option.

i am thinking c. sorry if im wrong .

step-by-step explanation:

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.