Question

Help me please!!!!!!​

Answer 1

$\bold{\huge{\underline{ Solution }}}$

Given :-

• A box of clay contains 25 packs

Each pack is a cuboid having dimensions 10cm × 10cm × 4 cm

To Find :-

• We have to find the no of spheres of radius 6cm can Jack make from a box of clay .

Let's Begin :-

Here, we have

• Length of one pack = 10cm
• Breath of 1 pack = 10 cm
• Height of 1 pack = 4 cm

We know that,

Volume of cuboid

$\bold{\red{ = length }}{\bold{\red{\times{ breath }}}}{\bold{\red{\times{height}}}}$

Subsitute the required values,

$\sf{ = 10 }{\sf{\times{ 10}}}{\sf{\times{4 }}}$

$\sf{ = 100 }{\sf{\times{ 4}}}$

$\bold{ = 400\: cm² }$

Thus, The volume of 1 pack is 400 cm²

Now,

We know that,

Volume of sphere

$\bold{\pink{ = }}{\bold{\pink{\dfrac{4}{3}}}}{\bold{\pink{\pi{r^{3}}}}}$

Subsitute the required values,

$\sf{ = }{\sf{\dfrac{4}{3}}}{\sf{\times{ 3.14 }}}{\sf{\times{(6)^{3}}}}$

$\sf{ = }{\sf{\dfrac{4}{3}}}{\sf{\times{ 3.14 }}}{\sf{\times{216}}}$

$\sf{ = 4}{\sf{\times{ 3.14 }}}{\sf{\times{72}}}$

$\sf{ = 288}{\sf{\times{ 3.14 }}}$

$\bold{ = 91.71 cm^{3}}$

Therefore,

No of spheres formed by 1 packs of cuboid

n = Volume of 1 packs/ Volume of sphere

Subsitute the required values,

$\sf{ n = }{\sf{\dfrac{ 400}{91.71}}}$

$\bold{ n = 4.36 }$

Thus, The number of spheres formed by 1 pack of cuboid are 4.36

Therefore,

Total number of spheres formed by 25 packs

$\sf{ = 25 }{\sf{\times{ 4.36}}}$

$\bold{ = 109 }$

Hence, The total number of spheres made by Jack from a box of clay is 109 spheres.

Answer 2

Answer:

11 spheres

Step-by-step explanation:

hope this helps!