Answer:
166.52 cubic feet.
Explanation:
We can Know the volume of a by using the expression below
V =[ (4/3)πr^3] .............eqn(1)
Given Diameter= 8.6 ft
radius= Diameter/ 2 = (8.6 ft)/2 = 4.3 ft
Eqn(1) gives the formula for volume of a WHOLE sphere, but what we need is
HALF of whole sphere, then we have
V =[ (4/3)πr^3] / 2
Then eqn(1) becomes [ (2/3)πr^3]
Volume of hemisphere
= [ (2/3)πr^3].....eqn(2)
If we substitute into eqn(2) we have
Radius= 4.3 ft
V(hemisphere) = (2/3)π(4.3)^3
= 166.52 cubic feet.
Hence, the volume of a hemisphere is
166.52 cubic feet.