Question

write volume of hemisphere in terms of surface area of sphere

Answer 1

Formula:

Surface area of a sphere = 4 π r²
where π = 3.14 and r = radius

Volume of a sphere = 4/3 π r³
where π = 3.14 and r = radius

To get the volume of a hemisphere based on the surface area of a sphere, we need to get its radius and solve for its volume. We then divide the volume of a sphere by 2 to get the volume of the hemisphere.

Volume of a hemisphere = Volume of a sphere ÷ 2

Answer 2

Surface area of a sphere = 4 π r²

Volume of a hemisphere = 2/3 π r³

Volume of hemisphere = 4 π r² × $\frac{r}{2}$ × $\frac{1}{3}$

Volume of hemisphere = 4 π r² × $\frac{r}{6}$

Volume of hemisphere = Surface area of hemisphere × $\frac{r}{6}$