Question

A cone with a mass of 6 g has a radius measuring 5 cm and a height of 2 cm. What is its density?

A 60 g/cm 3
B 52.33 g/cm 3
C 0.6 g/cm 3
D 0.11 g/cm 3


PLEASE HELP! Thank you. Also the space 3 is 3 squared I think.​

Answer 1

D.0.11 g/ cm3

Explanation:

Hello

the density is a scalar magnitude referred to the amount of mass in a given volume of a substance or a solid object.it is given by:

`density\ of\ an \ object =(mass\ of\ the\ object)/(volume of\ the\ object)`

also, the volume of a cone is

`Volume={(\pi *r^(2) *h)/(3) }`

Step 1

combine the equations

`density\ of\ an \ object =(mass\ of\ the\ object)/(volume of\ the\ object)\\\\replace\ the\ volume\\density\ of\ an \ object =(mass\ of\ the\ object)/( (\pi *r^(2) *h)/(3) )`

Step 2

put the values into the equation

`d=(mass\ of\ the\ object)/( (\pi *r^(2) *h)/(3) )\\let\\radius= 5 cm\\heigth= 2 cm\\mass = 6 g\\\\\\d=(6 g)/( (\pi *(5cm)^(2) *(2cm))/(3) )\\d=(18 g)/(50 \pi cm^(3)) \\d=0.11 (g)/(cm^(3))`

d=0.11g/ cm3

Have a great day

Answer 2

Volume of a cone is equal to pi*r^2*(h/3)

3.14*5^2*2/3 = 52.36 cubic cm.

Density = mass/volume

6 grams/ 52.36 cm^3= 0.1146

Round to 2 decimal places to get D.0.11 g/cm^3