Question

the dimension of a cuboid are 44cm,42cm,21cm .it is melted and a sphere of radius 7cm is made. how many spheres were made from cuboid. (Π=22/7)​

Answer 1

Answer:

HOLA

VOLUME OF CUBOID = LXBXH

= 44X42X21 = 38808CM³

VOLUME OF SPERE =

$= \frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3} \times \frac{22}{7} \times 7 \times 7 \times 7 \\ \frac{88 \times 49}{3} = 1437.33$

total = 38808/ 1437.33

= 27

UR ANSWER IS 27 ...

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Answer 2

$\huge{\underline{\purple{\rm{Solution:}}}}$

$\small{\underline{\red{\rm{Given:}}}}$

$\sf{The\: radius\:of\: sphere=7cm}$

$\sf{The\: dimensions\:of\: cubiod=44cm,\:42cm,\:21cm}$

$\sf{volume\:of\: cubiod=l*b*h}$

$\sf{\longrightarrow volume\:of\: cubiod=44*42*21}$

$\sf{\longrightarrow volume\:of\: cubiod=38808\:cm^3}$

• $\sf{Now\:Find\:the\: volume\: sphere}$

$\sf{\longrightarrow volume\:of\: sphere=\frac{4}{3}\pi\:r^3}$

$\sf{\longrightarrow volume\:of\: sphere=\frac{4}{3}*\frac{22}{7}*7^3}$

$\sf{\longrightarrow volume\:of\: sphere=\frac{4*22*49}{3}}$

$\sf{\longrightarrow volume\:of\: sphere=\frac{4312}{3}}$

• Therefore, Number of Sphere

$\sf{\longrightarrow Number\:of\: sphere=\frac{volume\:of\: cubiod}{volume\:of\: sphere}}$

$\sf{\longrightarrow Number\:of\: sphere=\frac{38808}{\frac{4312}{3}}}$

$\sf{\longrightarrow Number\:of\: sphere=27}$

Hence,

$\small{\boxed{\green{\rm{The\: number\:of\: sphere=27:}}}}$