Acylinder-shaped container has a radius of 25 centimeters and a height of 100 centimeters. a glass sphere with a radius of 10 centimeters is placed inside the cylinder shaped container and then the container is completely filled with water. what is the approximate volume of water contained in the cylinder? use 3.14 for pi. 4,187 cm³ 192,063 cm³ 196,250 cm³ 200,437 cm³

The answer below is correct I got a 100 because of it tysm to be clear the correct answer is B:192,063 cm^3!

what is the answer?

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb