Question

A cylinder with a base diameter of x units has a volume of πx3 cubic units.

Which statements about the cylinder are true? Check all that apply.

(1) The radius of the cylinder is x units.
(2) The radius of the cylinder is 2x units.
(3) The area of the cylinder’s base is πx2 square units.
(4) The area of the cylinder’s base is πx2 square units.
(5) The height of the cylinder is 2x units.
(6) The height of the cylinder is 4x units.

Answer 1

1,3,6

Explanation:

i think its right

Answer 2

The volume of the cylinder:
V = r² π h
We know that a base diameter: d = x
r = d / 2 = x / 2
π x³ = ( x/2 )² π h
π x³ = x²/4 π h /:π
x³ = x²/4 h
h = x³ : x²/4= x³ · 4/x²
h = 4 x
As for the base: B = r² π = (x/2)² π = π x²/ 4
Answer:
Correct statement is:
(6) The height of the cylinder is 4 x units.