Question

Solve this my friends you are the best and I can only ask help from you ❤️​

Answer 1

SoluTion :-

$\sf {Let\ r_{a}, r_{b}\ be\ radius\ of\ A\ \& \ B\ respectively }\\\\\\\sf {Given:-}\\\\\\\\\sf {S.A\ of\ B\ is\ 300 \%\ greater\ than\ S.A\ of\ A }$

$\sf {\Rightarrow 4\pi r^{2}_b =4 \times 4\pi r^{a}_{2 }$

$\sf {\Rightarrow r_b = 2r_a}$

$\sf {Volume\ of\ A(V_a)=\frac{4}{3}\pi r^{3}_a}$

$\sf {Volume\ of\ B(V_b)=\frac{4}{3}\pi (r_b)^3= \frac{4}{3}\pi (2r_a)^3=8 \times \frac{4}{3} \pi r^{3}_a}$

$\sf {V_b=8V_a}$  

 

∴ Volume of A is 87.5% lower than B