Question

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

Answer 1

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

Answer 2

Answer: a.
`37,680\ mm^3`

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=(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`