Hence the answer is 480ml
Step-by-step explanation:
Given Elena wonders how much water it will take to fill her cup. She drops her pencil in the cup and notice it just fit diagonally. The pencil is 17cm long (hypotenes) and the cup is 15cm tall.
To find how much water it can hold
SOLUTION
s
therefore volume of the cup
480cm³= 480ml
The radii to the points of tangency in each circle are parallel. Connecting the tangent point of the smaller circle to the corresponding radius of the larger circle creates a right triangle with hypotenuse 16 +4+6 = 26 and leg 16 -6 = 10. These numbers let you find the straight length between wheels as
.. √(26^2 -10^2) = 24
The minor arc of belt around the smaller wheel is 2*arccos(10/26) = 2.35201 radians. Then the major arc of belt around the larger wheel is
.. 2π -2.35201 = 3.93117 . . . radians
Of course, the length of each arc is the product of radian measure and radius. Then the total belt length is
.. (16 cm)(3.93117 radians) +(6 cm)*(2.35201 radians) +2*(24 cm) = 125 cm
First find the volume of the pool. To do so, multiply the length, times the width, times the height. In this case, it would be 12*15*5 and you get 900 cubic meters.
If the pool is being filled with 36 cubic meters of water per hour, you divide 900 by 36. You get 25 hours.
To check your work, multiply 25 hours and 36 cubic meters of water. You get 900 cubic meters, which is the area of the pool meaning it is full.
