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? A) 138.2 cubic inches B) 144.5 cubic inches C) 150.8 cubic inches D) 157.1 cubic inches

Answer 1

Option C is correct

Volume of coffee in the thermos is, 150.8 cubic inches

Explanation:

Volume of the cylinder is given by:

`V =\pi r^2h`

Where

V is the volume of the cylinder

r is the radius

h is the height of the cylinder respectively

As per the statement:

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

⇒ h = 12 inches and r = 2 inches.

Substitute the given values and use
`\pi = 3.14` in [1]

then;

`V =3.14 \cdot 2^2 \cdot 12`

`V =3.14 \cdot 48`

Simplify:

V ≈150.8 inches.

Therefore, the volume of coffee in the thermos is, 150.8 cubic inches