Question

length of the string needed
radius = 20 cm
height of the cone (e)
325 cm
200 cm
ground
f. find the total length of the string needed to hang the piñata given the information above. remember that the string must start at the tree branch, go down to the piñata and reach back to the branch. hint: take the height of the branch and subtract the values you know. remember to double the length of the string needed and add an extra 15 cm to account for tying the knot.

Explanation:

Step1: Calculate the height from branch to piñata top

The height of the branch is 325 cm and the height from the ground to the top - most point of the piñata (radius of the semi - circle) is 200 + 20=220 cm. So the height from the branch to the top of the piñata is $325−220 = 105$ cm.

Step2: Calculate the length of the string for one - way

The length of the string from the branch to the piñata is 105 cm.

Step3: Calculate the length of the string for round - trip

Since the string must go down to the piñata and come back to the branch, the length of the string for the round - trip is $2\times105=210$ cm.

Step4: Add length for the knot

We need to add 15 cm for tying the knot. So the total length of the string is $210 + 15=225$ cm.

Answer:

225 cm