9514 1404 393
Answer:
D. 640 m³
Step-by-step explanation:
The height CD of the cone is found using the Pythagorean theorem.
BC² + CD² = BD²
8² + CD² = 17²
CD = √(289 -64) = 15
The volume of the cylinder is ...
V = πr²h
The volume of the cone is ...
V = 1/3πr²h
So, the portion of the cylinder not occupied by the cone is ...
V = (πr²h) -(1/3πr²h) = (2/3)πr²h
V = 2/3(π)(8 m)²(15 m) = 640π m² . . . . . matches choice D
james
50
let x represent the total number of students.
8 / x = 16/ 100
16x = 800
x = 50
50 total students
