Question

A spherical ball of radius r1 units is melted to make 8 new identical balls each of radius r2 units.Then r1:r2 is?
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Answer 1

AnSwEr

${\tt{\red{\underline{\large{Given}}}}}$

• A word problem
• Related to Volume surface area

${\sf{\green{\underline{\large{To\:find}}}}}$

• Ratio of radius r1:r2

${\sf{\pink{\underline{\Large{Explanation}}}}}$

$\boxed{\boxed{\sf\red{Area\:Of\:Sphere={4}\pi{r^2}}}}$

Now area of new 8 identical cube of r -> r2 is

$\boxed{\boxed{\sf\red{Area\:Of\:Sphere={32}\pi{r_2^2}}}}$

Ratios of their areas

${\sf\red{Area\:Of\:Sphere=\dfrac{{4}\pi{r^2}}{{32}\pi{r_2^2}}}}$

$\rightarrow{\sf\red{Area\:Of\:Sphere=\dfrac{{1}\pi{r^2}}{{8}\pi{r_2^2}}}}$

$\rightarrow{\sf\red{Area\:Of\:Sphere=\dfrac{{1}{r^2}}{{8}{r_2^2}}}}$

r¹:r²=8:1

Answer 2

Step-by-step explanation:

HOPE THIS HELP YOU......