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?

Answer 1

Answer:

D.0.11 g/ cm3

Step-by-step 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:

$density\ of\ an \ object =\frac{mass\ of\ the\ object}{volume of\ the\ object}$

also, the volume of a cone is

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

Step 1

combine the equations

$density\ of\ an \ object =\frac{mass\ of\ the\ object}{volume of\ the\ object}\\\\replace\ the\ volume\\density\ of\ an \ object =\frac{mass\ of\ the\ object}{ \frac{\pi *r^{2} *h}{3} }$

Step 2

put the values into the equation

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

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