Rewrite the formula for the volume of a sphere
[tex]16\pi {?r}^{2} h[/tex]
Find the height (h) of a sphere with a volume (V) of
[tex]16\pi \:{cm}^{3} [/tex]
and a radius (r) of
[tex]2 \: cm[/tex]

Rewrite the formula for the volume of a spheretex16pi r2 htexFind the height h of a sphere with a volume V of tex16pi cm3 texand a radius r of tex2 cmtex class=

Respuesta :

Answer:

c. [tex]h=\frac{3V}{4\pi r^{2}}; 3 cm[/tex]

Step-by-step explanation:

[tex]V=\frac{3}{4}\pi r^{2}h | :\frac{3}{4}\pi r^{2}\\h=\frac{3V}{4\pi r^{2} } \\h=\frac{3*16*\pi cm^{3} }{4\pi 2^{2}cm^{2} }\\h=3cm[/tex]