A right cylinder has a diameter of 40 mm and a height of 30 mm, as shown. Semester Test, Part 1 What is the volume of the cylinder?
a. 37,680 mm3
b. 1256 mm3
c. 150,720 mm3
d. 12,000 mm3

Respuesta :

Tareki
Volume = Area * height 
 = (pi/4)*D^2 * h
 = (pi/4)*(40)^2 * 30 
  = 37,680 mm3
so, the answer is (a)

Answer: a. [tex]37,680\ mm^3[/tex]

Step-by-step explanation:

We know that the volume of a cylinder is given by :-

[tex]V=\pi r^2 h[/tex], where r is radius and h is height of the cylinder.

Given: The diameter of cylinder = 40 mm

The radius of cylinder =[tex]r=\dfrac{40}{2}=20\ mm[/tex]

The height of cylinder = 30 mm

Then , the volume of the cylinder will be :-

[tex]V=(3.14) (20)^2 (30)=37680\ mm^3[/tex]

Hence, the volume of the cylinder = [tex]V=37680\ mm^3[/tex]