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
Answer:
try hiniknkibjkmnolk
Step-by-step explanation:
Answer:
y = 150
Step-by-step explanation:
y varies inversely as x²
yx² = k
----------------
y = 6 when x = 30
6(30²) = k
6(900) = 5400
--------------------------
what is y when x = 6
y(6²) = 5400
y(36) = 5400
y = 5400/36
y = 150
Answer:
x = 7
Step-by-step explanation:
2x + 1 = -3x + 36
2x + 3x + 1 = -3x + 3x +36
5x + 1 = 36
5x + 1 - 1 = 36 - 1
5x = 35
5x/5 = 35/5
x = 7