A cylindrical cup is 10 centimeters in height. When filled to the very top, it holds 500 cubic centimeters of water. What is the radius of the cup, rounded to the nearest cm? (The volume of a cylinder is V=\pi r^2hV=πr 2 h where r is the radius, h is the height, and V is the volume)

4

Step-by-step explanation:

the formula for radius is

so. 500 divided by pi times 10. then square root your final answer. cool. let's get started.

3.14*10 is 31.4, you can do that without thinking.

500/31.4=15.92

15.92= 3.99, or just 4

the radius is four.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

your answer is -9

step-by-step explanation: