Answer:
.
Step-by-step explanation:
We have been given that a sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. We are asked to find the difference of the volumes of the spheres.
We will use volume formula of sphere to solve our given problem.
, where r is radius of sphere.
The difference of volumes would be volume of larger sphere minus volume of smaller sphere.
![\text{Difference of volumes}=\frac{4}{3}\pi(\text{8 cm})^3-\frac{4}{3}\pi(\text{2 cm})^3](https://tex.z-dn.net/?f=%5Ctext%7BDifference%20of%20volumes%7D%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%28%5Ctext%7B8%20cm%7D%29%5E3-%5Cfrac%7B4%7D%7B3%7D%5Cpi%28%5Ctext%7B2%20cm%7D%29%5E3)
![\text{Difference of volumes}=\frac{4}{3}\pi(512)\text{ cm}^3-\frac{4}{3}\pi(8)\text{ cm}^3](https://tex.z-dn.net/?f=%5Ctext%7BDifference%20of%20volumes%7D%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%28512%29%5Ctext%7B%20cm%7D%5E3-%5Cfrac%7B4%7D%7B3%7D%5Cpi%288%29%5Ctext%7B%20cm%7D%5E3)
![\text{Difference of volumes}=\frac{4}{3}\pi(512-8)\text{ cm}^3](https://tex.z-dn.net/?f=%5Ctext%7BDifference%20of%20volumes%7D%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%28512-8%29%5Ctext%7B%20cm%7D%5E3)
![\text{Difference of volumes}=4\pi(168)\text{ cm}^3](https://tex.z-dn.net/?f=%5Ctext%7BDifference%20of%20volumes%7D%3D4%5Cpi%28168%29%5Ctext%7B%20cm%7D%5E3)
![\text{Difference of volumes}=672\pi\text{ cm}^3](https://tex.z-dn.net/?f=%5Ctext%7BDifference%20of%20volumes%7D%3D672%5Cpi%5Ctext%7B%20cm%7D%5E3)
Therefore, the difference between volumes of the spheres is
.
Arc length of the quarter circle is 1.57 units.
Solution:
Radius of the quarter circle = 1
Center angle (θ) = 90•
Arc length = 1.57 units
Arc length of the quarter circle is 1.57 units.
Answer:
42%
Step-by-step explanation:
To find the percentage of a fraction, you divide the numerator by the denominator and multiply by 100:
![\frac{21}{50}=21/50=0.42*100=42percent](https://tex.z-dn.net/?f=%5Cfrac%7B21%7D%7B50%7D%3D21%2F50%3D0.42%2A100%3D42percent)
Answer:
the graph is correct. the equation would be y=3/2x+3
Step-by-step explanation: