Answer:
Step-by-step explanation:
The volume of the inner cylinder = πr^2h
= π*4*18
= 72π
The volume of the big cylinder= πr^2h
= π*16*18
= 288π
The volume of the cone=
πr^2h
= 1/3 * π*16*5
= 1/3*80π
The total volume= 1/3*80π - 72π+288π
= 1/3*80π+116π
= (80+348)π/3
= 428π/3
= 428 * 3.14/3
= 1343.92/3
=447.9733cubic inches
the mistake that the student might have done is adding the whole volume of the cylinder without subtracting the volume of the hollow.