Question

find the volume of a hemisphere with a diameter of 17 cm showing all work .... help ! :/

Answer 1

radius is 8.5 then

Find the volume of a whole sphere with the given radius and divide that by 2

Answer 2

Hemisphere is half of a sphere....do you know the formula for the volume of a sphere

Answer 3

Nice pic....but we want half of it

Answer 4

\[V_{\text{Sphere}}=\frac{4}{3}\pi r^3\]
\[V_{\text{Hemiphere}}=\frac12\times\frac{4}{3}\pi r^3\]
\[D=2r\]

Answer 5

\[r^3=\left(\frac{D}{2}\right)^3=\frac{D^3}{2^3}=\frac{D^3}{8}\]

Answer 6

\[V_{\text{Hemiphere}}=\frac12\times\frac{4}{3}\times\pi \times\frac{17^3}8\]