SOLUTION: Elena wonders how much water it would take to fill her cup. She drops her pencil in her cup and notices that it just fits diagonally. The pencil is 17 cm long and the cup is 15 cm

Algebra ->  Volume -> SOLUTION: Elena wonders how much water it would take to fill her cup. She drops her pencil in her cup and notices that it just fits diagonally. The pencil is 17 cm long and the cup is 15 cm      Log On


   

Question 1194527: Elena wonders how much water it would take to fill her cup. She drops her pencil in her cup and notices that it just fits diagonally. The pencil is 17 cm long and the cup is 15 cm tall. How much water can the cup hold? Round your answer to the nearest cubic centimeter.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Elena wonders how much water it would take to fill her cup.
She drops her pencil in her cup and notices that it just fits diagonally.
The pencil is 17 cm long and the cup is 15 cm tall.
How much water can the cup hold?
Round your answer to the nearest cubic centimeter.
:
The pencil, the side of cup forms a right triangle going thru the center of the cup. The 3rd side will be the diameter of the cup
:
d = sqrt%2817%5E2+-+15%5E2%29
d = 8 cm is the diameter
then
r = 4 cm is the radius
:
Find the volume of the cup
V = pi%2A4%5E2%2A15
V = 754 cu/cm, amt of water when full