Question

A cone has a mass of 6g and a radius of 5cm and a height of 2cm what is the density

Answer 1

Step $1$

we know that

The density's formula is equal to

$density=\frac{mass}{volume}$

The volume of a cone is equal to

$Volume=\frac{1}{3}\pi r^{2} h$

where

r is the radius of the base of the cone

h is the height of the cone

in this problem

$r=5cm\\ h=2 cm$

substitute the values in the formula above

$Volume=\frac{1}{3}*\pi*5^{2}*2$

$Volume=52.36\ cm^{3}$

Step $2$

Find the density

we have

$Volume=52.36\ cm^{3}$

$mass=6\ g$

substitute in the formula

$density=\frac{mass}{volume}$

$density=\frac{6}{52.36}$

$density=0.11\frac{g}{cm^{3} }$

therefore

the answer is

the density is $0.11\frac{g}{cm^{3} }$