Question

the ratio of two spheres are in ghe ratio 1:4 the ratio of their volume is?​

Answer 1

The ratio of their volume is "1 : 64".

Step-by-step explanation:

Ler r and 4r be the radius of two sphere.

∴ Volume of sphere with radius r = $\dfrac{4}{3}$·π.$r^{3}$

Also,

Volume of sphere with radius 4r = $\dfrac{4}{3}$·π.$(4r)^{3}$

= 64 × $\dfrac{4}{3}$·π.$(r)^{3}$}[/tex]

∴ The ratio of two spheres = $\dfrac{[tex]\dfrac{4}{3}$·π.$r^{3}$}{64 × $\dfrac{4}{3}$·π.$(r)^{3}$}[/tex]}

= $\dfrac{1}{64}$

∴ The ratio of their volume is 1 : 64.