Step-by-step explanation:
it is a combination of a cone and half a sphere.
the volume of a cone is
ground area × height / 3
the ground area is a circle, so we have
pi×r²×h/3
in our case
pi×(10/2)²×12/3 = pi×5²×4 = pi×25×4 = 100pi
the volume of a sphere is
4/3 × pi×r³
and half a sphere is then
4/3 / 2 × pi×r³ = 4/6 × pi×r³ = 2/3 × pi×r³
in our case
2/3 × pi×5³ =2/3 × pi×125 = 250/3 × pi
together we get
100pi + 250/3 × pi = 300/3 × pi + 250/3 × pi =
= 550/3 × pi = 575.9586532... cm³ ≈ 576 cm³
if we use 3.14 for pi we get
575.6666666... cm³ ≈ 576 cm³
