Answered

Kevin used snowballs in the shape of a sphere to build a snowman. The radius of the largest snowball was 1.5 times the radius of the smallest snowball. How many times greater was the volume of the largest snowball than the volume of the smallest snowball?

Sagot :

VilesXviz
let r be the radius of the smallest sphere
let r be the radius of the largest sphere

where :
R=1.5r

by ratio an proportion of similar objects
[tex] \frac{ r^{3} }{ R^{3} } = \frac{V_s}{V_r} [/tex]

[tex] \frac{ r^{3} }{(1.5r)^{3} } = \frac{V_s}{V_l} [/tex]

[tex]V_l=3.375V_s[/tex]

so the Volume of the largest sphere is 3.375 times bigger than the smallest sphere.