Answer:
radius of the sphere (r) = 21 units
Step-by-step explanation:
here's the solution : -
=》
![12348\pi = \frac{4}{3} \times \pi \times {r}^{3}](https://tex.z-dn.net/?f=12348%5Cpi%20%3D%20%20%5Cfrac%7B4%7D%7B3%7D%20%20%5Ctimes%20%5Cpi%20%5Ctimes%20%20%7Br%7D%5E%7B3%7D%20)
=》
![{r}^{3} = 12348 \times \frac{3}{4}](https://tex.z-dn.net/?f=%20%7Br%7D%5E%7B3%7D%20%20%3D%2012348%20%5Ctimes%20%20%5Cfrac%7B3%7D%7B4%7D%20)
( pi cancel out )
=》
![{r}^{3} = 9261](https://tex.z-dn.net/?f=%20%7Br%7D%5E%7B3%7D%20%20%3D%209261)
=》
![r = 21](https://tex.z-dn.net/?f=r%20%3D%2021%20)
Answer:
(a+11)(a-1)
Step-by-step explanation:
Answer: C
Step-by-step explanation:
To find the surface area of a cone, you use the formula
. Since we are already given the height and radius, all we have to do is plug in the values and solve.
[solve inside of square root]
[parenthesis]
[multiply]
![A=458](https://tex.z-dn.net/?f=A%3D458)
Therefore, the closest answer is C.
Answer:
20 mph and 4 mph
Step-by-step explanation:
GIVEN: A boat travels upstream for
miles in
hours and returns in
hours traveling downstream in a river.
TO FIND: What is the rate of the boat in still water and the rate of the current.
SOLUTION:
Let the speed of boat in still water be
and speed of current be
.
speed of water in upstream ![=s+a](https://tex.z-dn.net/?f=%3Ds%2Ba)
speed of water in downstream ![=s-a](https://tex.z-dn.net/?f=%3Ds-a)
As ![speed=\frac{distance}{time}](https://tex.z-dn.net/?f=speed%3D%5Cfrac%7Bdistance%7D%7Btime%7D)
![s+a=\frac{48}{3}=16](https://tex.z-dn.net/?f=s%2Ba%3D%5Cfrac%7B48%7D%7B3%7D%3D16)
![s-a=\frac{48}{2}=24](https://tex.z-dn.net/?f=s-a%3D%5Cfrac%7B48%7D%7B2%7D%3D24)
Solving both we get
![s=20\text{ mph}](https://tex.z-dn.net/?f=s%3D20%5Ctext%7B%20mph%7D)
![a=4\text{ mph}](https://tex.z-dn.net/?f=a%3D4%5Ctext%7B%20mph%7D)
Hence speed of boat in still water and rate of current is 20mph and 4mph respectively.
3,817,500 is the correct answer