Answer to Question #230736 in Physics for Josh

Question

A student measures a single chocolate cookie and finds that it has an average diameter of 5.24±0.02cm. The cookie is near to a perfect cylinder and has a width of 5.5±0.2mm.

Calculate

i. The volume of the cookie 

i. The density, assuming if the student measures the cookie on a top pan balance to be 10g±1.5 %. Give your answer in g/cm and also in kg/m³

Answer 1

1)

$$V=0.25\pi d^2h\\V=0.25\pi (5.24)^2(0.55)=12\ cm^3$$

2)

$$\rho=\frac{10}{12}=0.83\frac{g}{cm^3}\\\rho=830\frac{kg}{m^3}$$