Mathematics: The height of a cylinder is equal to the diameter of the base what expression represents the volume of the cylinder, in cubic units?

-The greatest common factor of = Explanation:-Given algebraic expressions: Rewrite the expressions , using prime factorization method.We can see 15 is the common coefficient,and is the common factor in the expressions⇒The greatest common factor of = ...

The height of a cylinder is equal to the diameter

Ответ:

paras29

08.01.2022

Mathematics

3 units

Step-by-step explanation:

the volume of a cone C = πr²h/3

C = 18π, h =2x, r = diameter/2 = 2x/2 =x

18π = π* x²* 2x/3

divide through by π

18 = x² * 2x/3

multiply through by 3

54 = 2x³

divide through by 2

27 = x³

x =∛27 = 3

x = 3 units = radius

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Ответ:

kajjumiaialome

30.03.2023

Mathematics

-The greatest common factor of $60x^4y^7,45x^5y^5,\text{ and }75x^3y$ = 15x^3y

Explanation:-

Given algebraic expressions: $60x^4y^7,45x^5y^5,\text{ and }75x^3y$

Rewrite the expressions , using prime factorization method.

$60x^4y^7=15\times4\times\ x^3\times\ x\times\ y\times\ y^6\\45x^5y^5=15\times3\times\ x^3\times\ x^2\times\ y\times\ y^4\\75x^3y=15\times5\times\ x^3y$

We can see 15 is the common coefficient,and x^3y is the common factor in the expressions

⇒The greatest common factor of $60x^4y^7,45x^5y^5,\text{ and }75x^3y$ = 15x^3y

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The height of a cylinder is equal to the diameter of the base what expression represents the volume of the cylinder, in cubic units?

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