A is the correct answer because tangents do not have any chords
Answer:
The volume of the cone is 128π mm³ ⇒ answer (C)
Step-by-step explanation:
* Lets study the cone
- Its base is a circle
- Its height the perpendicular distance from its vertex to
the center of the base
- The length of its slant height = √(h² + r²)
- The volume of the con is 1/3 the volume of the cylinder
∵ The volume of the cylinder = πr²h
∴ The volume of the cone = (1/3) πr²h
* In our problem:
- r = 4 mm
- h = 24 mm
∴ Its volume = (1/3) × π × (4)² × 24 = 128π mm³
* The volume of the cone is 128π mm³
Answer:
The answer is B.
Step-by-step explanation:
It's hard to explain how to do it, I'm sorry, but I hope this helped!
The simplified answer and the solution is listed below:
![\sqrt[4]{81 x^{8} y^{5} } \\ \\ = \sqrt[4]{(3)^{4} x^{8} y^{5} } \\ \\ = \sqrt[4]{(3 x^{2} y)^{4} y} \\ \\ =3 x^{2} y \sqrt[4]{y}](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B81%20x%5E%7B8%7D%20%20y%5E%7B5%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20%0A%3D%20%5Csqrt%5B4%5D%7B%283%29%5E%7B4%7D%20x%5E%7B8%7D%20%20y%5E%7B5%7D%20%20%7D%20%20%5C%5C%20%20%5C%5C%20%0A%3D%20%5Csqrt%5B4%5D%7B%283%20x%5E%7B2%7D%20y%29%5E%7B4%7D%20y%7D%20%20%5C%5C%20%20%5C%5C%20%0A%3D3%20x%5E%7B2%7D%20y%20%5Csqrt%5B4%5D%7By%7D%20)
69% is the same as .69, which is the same as 69/100
