Question

Rachel is head chef at a restaurant downtown. She is making a sauce for the dinner special. She’s using a pot that is 15 cm high and has a diameter of 22 cm. What is the volume of the pot? Leave your answer in terms of pi (ϖ).A. 165π cm cubedB. 330π cm cubedC. 2475π cm cubedD. 1815π cm cubed

Answer 1

Given that the pot is in the shape of a cylinder and the height and diameter of the pot are given. Then,

The height of pot = h = 15 cm

Diameter of pot = d = 22 cm

Then the radius will be, r = d/2 = 22/2 = 11 cm

The formula for the volume of the cylinder is

$V=\pi r^2h$

On putting the values we have

$\begin{gathered} V=\pi\times11\times11\times15\text{ cm}^3 \\ V=1815\pi\text{ cm}^3 \end{gathered}$

Hence, the volume is 1815π cubic cm.

So option D is correct.