Answer:
No. The new height of the water is less than the height of the glass(6.33 cm<10 cm)
Step-by-step explanation:
-For the water in the glass to overflow, the volume of the inserted solid must be greater than the volume of the empty space or the ensuing height of water >height of glass.
#Volume of the golf ball:
![V=\frac{4}{3}\pi r^3\\\\=\frac{4}{3}\pi \times 4^3\\\\\approx 268.08\ cm^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3%5C%5C%5C%5C%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%5Ctimes%204%5E3%5C%5C%5C%5C%5Capprox%20268.08%5C%20cm%5E3)
#The volume of the water in the glass:
![V=\pi r^2 h\\\\=\pi \times 4^2\times 10\\\\\approx 50.27\ cm^2](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E2%20h%5C%5C%5C%5C%3D%5Cpi%20%5Ctimes%204%5E2%5Ctimes%2010%5C%5C%5C%5C%5Capprox%2050.27%5C%20cm%5E2)
We then equate the two volumes to the glass' volume to determine the new height of the water:
![V=\pi r^2h\\\\(206.08+50.27)=\pi r^2 h\\\\h=318.35/(\pi \times 4^2)\\\\=6.33\ cm](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E2h%5C%5C%5C%5C%28206.08%2B50.27%29%3D%5Cpi%20r%5E2%20h%5C%5C%5C%5Ch%3D318.35%2F%28%5Cpi%20%5Ctimes%204%5E2%29%5C%5C%5C%5C%3D6.33%5C%20cm)
Hence, the glass will not overflow since the new height of the water is less than the height of the glass(6.33 cm<10cm).
After x years the population of a town is 3460*[(1.35)^x]
Answer:
AA~
Step-by-step explanation:
These triangles are similar but not congruent. One triangle is bigger than the other, meaning none of the side lengths are the same. On the triangles, two angles are given, a 53 degree and a 90 meaning that you would us the AA rule to determine if they are similar. Which they are.
Answer:
Step-by-step explanation:
Statements Reasons
1). SP ≅ TP 1). Given
2). PQ bisects ∠SPT 2). Given
3). ∠SPQ ≅ ∠TPQ 3). Definition of angles bisector
4). PQ ≅ PQ 4). Reflexive property of congruence
5). ΔSPQ ≅ ΔTPQ 5). SAS property of congruence
Answer:
(-6,-4)
Step-by-step explanation:
A reflection over the x-axis changes the y variable
(x,y)--->(x,-y)