We have been given that the circular opening of an ice cream cone has a diameter of 7 centimeters. The height of the cone is 10 centimeters. We are asked to find the volume of the ice cream cone in cubic centimeters.
We will use volume of cone formula to solve our given problem.
, where,
r = Radius
h = Height.
We know that diameter is two times the radius, so radius of cone would be half the diameter that is
cm.
![V=\frac{1}{3}\pi\cdot (\frac{7}{2}\text{ cm})^2\cdot 10\text{ cm}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%5Ccdot%20%28%5Cfrac%7B7%7D%7B2%7D%5Ctext%7B%20cm%7D%29%5E2%5Ccdot%2010%5Ctext%7B%20cm%7D)
![V=\frac{1}{3}\pi\cdot \frac{49}{4}\text{ cm}^2\cdot 10\text{ cm}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%5Ccdot%20%5Cfrac%7B49%7D%7B4%7D%5Ctext%7B%20cm%7D%5E2%5Ccdot%2010%5Ctext%7B%20cm%7D)
![V=\frac{490\pi }{12}\text{ cm}^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B490%5Cpi%20%7D%7B12%7D%5Ctext%7B%20cm%7D%5E3)
![V=128.2817\text{ cm}^3](https://tex.z-dn.net/?f=V%3D128.2817%5Ctext%7B%20cm%7D%5E3)
Upon rounding to nearest tenth, we will get:
![V\approx 128.3\text{ cm}^3](https://tex.z-dn.net/?f=V%5Capprox%20128.3%5Ctext%7B%20cm%7D%5E3)
Therefore, the volume of the cone would be approximately 128.3 cubic cm.
If you were to round it, a possible answer could be 9,997
Answer:
True
Step-by-step explanation:
The hypothesis of a conditional statement is the "if" part. This means the hypothesis is "If a line is bisected."
The conclusion of a conditional statement is the "then" part. This means the conclusion is "then it is cut into two equal parts."
Answer:
6
Step-by-step explanation:
To find the third term substitute n = 3 into the n th term formula
a(3) = ![\frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D)
![(-2)^{3-1}](https://tex.z-dn.net/?f=%28-2%29%5E%7B3-1%7D)
= ![\frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D)
![(-2)^{2}](https://tex.z-dn.net/?f=%28-2%29%5E%7B2%7D)
=
× 4 = 6