Volume of cylinder = ( 2 x ) ² ∙ π ∙ 9 x = 4 x² ∙ π ∙ 9 x = 36 x³ ∙ π
Volume of a sphere with radius r = ( 4 / 3 ) ∙ π ∙ r³
Volume of cylinder = Volume of a sphere
36 x³ ∙ π = ( 4 / 3 ) ∙ π ∙ r³
Divide both sides by π
36 x³ = ( 4 / 3 ) ∙ r³
Multiply both sides by 3
36 x³ ∙ 3 = 4 ∙ r³
108 x³ = 4 ∙ r³
Divide both sides by 4
27 x³ = r³
r³ = 27 x³
r = ∛ (27 x³ )
r = 3 x
This diagram shows a solid metal cylinder.
The cylinder hasbase radius 2x and height 9x.
The cylinder is melted down and made into a sphere of radius r
Find an expression for in terms of x
1 answer
1 answer