Question

a thermos in the shape of a cylinder is filled with coffee.The height of the cylinder is 12 inches and its radius is 2 inches. To the nearest tenth of a cubic inch, what is the volume of coffee in the thermos?

Answer 1

Volume of the thermos carrying coffee=
`150.72 inches^3`

Explanation:

Height of the cylinder=12 inch

Radius=2 inches

Volume of a cylinder=
`\pi *r^2*h`

As ,
`\pi =(22)/(7) =3.14`

Putting the values in the formula:

Volume of the cylinder=
`3.14*2*2*12\\`

`=3.14*4*12\\\\=3.14*48\\\\=150.72inches^3`

The volume of the thermos carrying coffee is
`150.72 inches^3`

Answer 2

150.7 in^3 if using 3.14 for pi

150.8 in^3 if using the pi button

Explanation:

The volume of a cylinder is given by

V = pi r^2 h where r is the radius and h is the height

V = (pi) * (2)^2 * (12)

V = pi *4*12

Using the pi button on the calculator

V =150.796

This round to 150.8 in^3

If we approximate pi using 3.14

V = 3.14 *4*12

V = 150.72

This rounds to 150.7 in^3