A gumball has a radius that is 27 mm. The radius of the gumball's spherical hollow core is 23 mm. What is the volume of the gumball if you do not include its hollow core?

Respuesta :

Riia

In this question, we have to use the formula of volume of sphere, which is

[tex]V= \frac{4}{3} \pi r^3[/tex]

S for gumball, volume is

[tex]= \frac{4}{3}* \pi (27)^3 = 82447.96 mm^3[/tex]

Volume of the gumball's spherical hollow core is

[tex]= \frac{4}{3}* \pi*23^3=50965.01mm^3[/tex]

Required volume is the difference of the volume of gumball and gumball's  spherical hollow core, that is

[tex]V=82447.96-50965.01= 31482.95 mm^3[/tex]