-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:

$V=\frac{4}{3}\pi r^3\\\\=\frac{4}{3}\pi \times 4^3\\\\\approx 268.08\ cm^3$

#The volume of the water in the glass:

$V=\pi r^2 h\\\\=\pi \times 4^2\times 10\\\\\approx 50.27\ cm^2$

We then equate the two volumes to the glass' volume to determine the new height of the water:

$V=\pi r^2h\\\\(206.08+50.27)=\pi r^2 h\\\\h=318.35/(\pi \times 4^2)\\\\=6.33\ cm$

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).

4 0

3 years ago

Plz help me solve this

posledela

1.-28×-28×-28+13×13×13+16×16×16

=21,952+2,197+4,096

=28,245.

2.12×12×12+-7×-7×-7+-5×-5×-5

=1,728+-343+-125

=1,260

6 0

4 years ago

Do 8feet + 10feet + 12feet make a right triangle

bija089 [108]

9514 1404 393

Answer:

Step-by-step explanation:

If triangle side lengths are an arithmetic sequence (have a common difference), they must have the ratios 3:4:5 to make a right triangle. Here, the ratios of the side lengths are 4:5:6, so will not be a right triangle.

4 0

3 years ago

Math homework please help ​

Math homework please help