Step-by-step explanation:
Volume of a sphere is
![\frac{4}{3} \pi {r}^{3}](https://tex.z-dn.net/?f=%20%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%7Br%7D%5E%7B3%7D%20)
plug in 70 ft for the radius to get 1,436,755 cubic ft then divide that by 4 since the prompt describes a quarter sphere, giving you a tank volume of 359,189 cubic ft.
Volume of a cylinder is
![\pi {r}^{2} h](https://tex.z-dn.net/?f=%5Cpi%20%7Br%7D%5E%7B2%7D%20h)
from the second prompt we know the tanks are identical since they are said to be congruent which means the hight and radius are the same. Plug in 120 f for h and 35 ft for r to get the volume of a cylinder and then divide that by 2 to get the volume of a single tank. the volume of both tanks would be
![\pi {35}^{2} (120) = 461,814](https://tex.z-dn.net/?f=%5Cpi%20%7B35%7D%5E%7B2%7D%20%28120%29%20%3D%20461%2C814)
To show tank model is a sixth of the original so you divide the radius by 6 and perform the same calculation as in the first portion of the problem ro get the volume a quarter sphere
![\frac{4}{3} \pi {( \frac{70}{6} )}^{3} = 6,652 \: {ft}^{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%7B%28%20%5Cfrac%7B70%7D%7B6%7D%20%29%7D%5E%7B3%7D%20%20%3D%206%2C652%20%5C%3A%20%20%7Bft%7D%5E%7B3%7D%20)
To get the percentage of the model relative to the original you divide the models volume by the full scale volume
![\frac{6652}{1436755} \times 100 = 0.46](https://tex.z-dn.net/?f=%20%5Cfrac%7B6652%7D%7B1436755%7D%20%5Ctimes%20100%20%20%3D%200.46)
which is less than 1% of the full scale volume.
Answer:
Aren't you that guy form that place I know
Answer:
QT = 20 and QW = 30
Step-by-step explanation:
For triangle Δ PQR, the centroid is T and it is on one median is QW.
We know that the medians intersect each other at centroid and the centroid divides the medians in 2 : 1 ratio.
So, we can write
⇒ QT = 2 × TW = 2 × 10 = 20 (Answer)
{Since the length TW is given to be 10}
Now, QW = QT + TW = 20 + 10 = 30 (Answer)