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?

A37,680 mm3
B1256 mm3
C150,720 mm3
D12,000 mm3

Verified Answer :

Tareki

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

Answer: a. \(37,680\ mm^3\)

Step-by-step explanation:

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

\(V=\pi r^2 h\), where r is radius and h is height of the cylinder.

Given: The diameter of cylinder = 40 mm

The radius of cylinder =\(r=\dfrac{40}{2}=20\ mm\)

The height of cylinder = 30 mm

Then , the volume of the cylinder will be :-

\(V=(3.14) (20)^2 (30)=37680\ mm^3\)

Hence, the volume of the cylinder = \(V=37680\ mm^3\)