Answer: 4in
Step-by-step explanation:
Volume of a cylinder = πR²H
Volume of a cone = 1/3πr²h
πR²H = 1/3πr²h
π is very common so it could be cancelled, so the equation now becomes
R²H = 1/3r²h
3R²H = r²h
Now substitute for the values
h = 3 x 2² x 3
--------------
3²
= 9 x 4/9
= 4in.
Therefore, the height of the cone
h = 4in.
You have a right triangle situation here, and what you are looking for is the length of the hypotenuse. The leg perpendicular to the ground is 100, and the base angle that is NOT the right angle, is 65. So your equation is set up like this: sin 65 = 100/x. Rearrange that a bit to get x alone: x = 100/ sin 65. Make sure your calculator is in degree mode and solve for x. x = 110.34 feet of string.
<span>x = child ticket price
y = adult ticket price
5x+3y=52 the cost accounting for the first group.
3x+2y=38 the cost accounting for the second group.
Child price: 5$
Adult price: 9$</span>
