Question

The longest straw that can fit inside a 5-inch cylindrical cupm if the straw is placed at the angle in the cup, is 6- inches.
what is the approximate length of the cylinder's radius?

Answer 1

Since the straw is 6 inches long, the approximate length of the cylinder's radius is 3.32 in

To find the radius of the cylinder, we need to apply Pythagoras' theorem.

What is Pythagoras' theorem?

Pythagoras' theorem states that in any right-angled triangle, the square of the hypotenuse side equals the sum of the squares of the other two sides.

Mathematically, c² = a² + b² where

• c = hypotenuse
• a and b = other sides.

Now, since the 6 inch straw inclined at an angle forms a right angle with the radius,r and length of the cylinder, h.

Since the length of the straw is the hypotenuse side, L we have that

L² = h² + r²

Radius of the cylinder

Making r the radius of the cylinder subject of the formula, we have

r = √(L² - h²)

Given that

• L = 6 in and
• h = 5 in

Substituting the values of the variables into the equation,we have

r = √(L² - h²)

r = √(6² - 5²)

r = √(36 - 25)

r = √11

r = 3.316 in

r ≅ 3.32 in

So, the approximate length of the cylinder's radius is 3.32 in

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