Question

A solid cylinder made of pure metal has a mass of 24 kg. What would the mass be if it were twice as thick but only half as long?

A)12 kg 

B)24 kg

 C)36 kg

 D)48 kg

with all the steps and don't write unknowingly plz it's so important.

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Answer 1

Answer:

12 kg is the answer I hope it will be helpful

Answer 2

GIVEN,

mass of solid cylinder= 24kg

TO FIND,

mass of cylinder twice thick and only half long,

SOLUTION,

we are given,

mass of solid cylinder= VOLUME* DENSITY

24= $\pi r^{2} h$* D ------(i) ( Mass is given, the volume of a solid cylinder is

for the next condition the height = $\frac{h}{2}$ , radius= 2r

mass of new solid cylinder= VOLUME*DENSITY

MASS= $\pi 4r^{2} \frac{h}{2}$*D----(ii)

dividing equations (i) and (ii)

we get,

$\frac{24}{mass}= \frac{\pi r^{2}h }{\pi 4r^{2}\frac{h}{2} }$

solving for the mass of new cylinder we get,

$mass= \frac{24*4}{2}$

mass= 48kg

HENCE THE VOLUME OF THE NEW CYLINDER WILL BE 48 KG.