The answer is 4,800 . You have to multiply 120 and 40.
Answer:
Step-by-step explanation:
General equation of circle with center at (0, 0) : x² + y² = r²
x² + y² = 56.25
x² + y² = 7.5²
Radius = 7.5 units
Center (0 , 0)
Answer:
The correct answer is C) x, x/2, x/4, x/8, ...
Step-by-step explanation:
Hope this helps! :)
Answer:
![V_{total} = 26460 \pi~cm^3](https://tex.z-dn.net/?f=%20V_%7Btotal%7D%20%3D%2026460%20%5Cpi~cm%5E3%20)
![V_{total} = 83127~cm^3](https://tex.z-dn.net/?f=%20V_%7Btotal%7D%20%3D%2083127~cm%5E3%20)
Step-by-step explanation:
The solid is made up of 2 cones and a cylinder.
Upper cone:
radius = 21 cm
height = h_1 = 70 cm - 35 cm = 35 cm
Cylinder:
radius = 21 cm
height = h_2 = 35 cm
Lower cone:
radius = 21 cm
height = h_3 = 40 cm
![V_{total} = V_{upper~cone} + V_cylinder} + V_{lower~cone}](https://tex.z-dn.net/?f=%20V_%7Btotal%7D%20%3D%20V_%7Bupper~cone%7D%20%2B%20V_cylinder%7D%20%2B%20V_%7Blower~cone%7D%20)
![V_{total} = \dfrac{1}{3} \pi r^2 h_1 + \pi r^2 h_2 + \dfrac{1}{3} \pi r^2 h_3](https://tex.z-dn.net/?f=%20V_%7Btotal%7D%20%3D%20%5Cdfrac%7B1%7D%7B3%7D%20%5Cpi%20r%5E2%20h_1%20%2B%20%5Cpi%20r%5E2%20h_2%20%2B%20%5Cdfrac%7B1%7D%7B3%7D%20%5Cpi%20r%5E2%20h_3%20)
![V_{total} = \dfrac{1}{3}(\pi)(21~cm)^2(35~cm) + (\pi)(21~cm)^2(35~cm) + \dfrac{1}{3}(\pi)(21~cm)^2(40~cm)](https://tex.z-dn.net/?f=%20V_%7Btotal%7D%20%3D%20%5Cdfrac%7B1%7D%7B3%7D%28%5Cpi%29%2821~cm%29%5E2%2835~cm%29%20%2B%20%28%5Cpi%29%2821~cm%29%5E2%2835~cm%29%20%2B%20%5Cdfrac%7B1%7D%7B3%7D%28%5Cpi%29%2821~cm%29%5E2%2840~cm%29%20)
![V_{total} = \dfrac{1}{3}(\pi)(441~cm^2)(35~cm) + (\pi)(441~cm^2)(35~cm) + \dfrac{1}{3}(\pi)(441~cm^2)(40~cm)](https://tex.z-dn.net/?f=%20V_%7Btotal%7D%20%3D%20%5Cdfrac%7B1%7D%7B3%7D%28%5Cpi%29%28441~cm%5E2%29%2835~cm%29%20%2B%20%28%5Cpi%29%28441~cm%5E2%29%2835~cm%29%20%2B%20%5Cdfrac%7B1%7D%7B3%7D%28%5Cpi%29%28441~cm%5E2%29%2840~cm%29%20)
![V_{total} = (147~cm^2)(35~cm)(\pi) + (441~cm^2)(35~cm)(\pi) + (147~cm^2)(40~cm)(\pi)](https://tex.z-dn.net/?f=%20V_%7Btotal%7D%20%3D%20%28147~cm%5E2%29%2835~cm%29%28%5Cpi%29%20%2B%20%28441~cm%5E2%29%2835~cm%29%28%5Cpi%29%20%2B%20%28147~cm%5E2%29%2840~cm%29%28%5Cpi%29%20)
![V_{total} = 5145\pi~cm^3 + 15435\pi ~cm^3 + 5880\pi~cm^3](https://tex.z-dn.net/?f=%20V_%7Btotal%7D%20%3D%205145%5Cpi~cm%5E3%20%2B%2015435%5Cpi%20~cm%5E3%20%2B%205880%5Cpi~cm%5E3%20)
![V_{total} = 26460 \pi~cm^3](https://tex.z-dn.net/?f=%20V_%7Btotal%7D%20%3D%2026460%20%5Cpi~cm%5E3%20)
![V_{total} = 83127~cm^3](https://tex.z-dn.net/?f=%20V_%7Btotal%7D%20%3D%2083127~cm%5E3%20)