Find the volume of the space inside the right cylinder that is not filled by the right cone below.
1 answer:
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
You might be interested in
Step-by-step explanation:
5.4×-0.9=n
n=-4.86
(-4/5)/(1/3)=x
X=-2 2/5
Answer:
T=76
Step-by-step explanation:
If the formula is T=50+N-40 and N=66 then you just substitute 66 in for N then you have T=50+66-40 where as T=76
Answer:
1
Step-by-step explanation:
x is 1 and y is 1 and the total is three so 1
Answer C
Step-by-step explanation:
2 x 3 - 4 + 3 x 3 = 11
Do PEMDAS.
Parenthesis
Exponents
Multiplication
Addition
Subtraction