Question

A pencil case with a cylinder shape with diameter= 10 cm

and height = 12 cm .
What is the length of the longest pencil that can fit in the pencil case?

Answer 1

length of the longest pencil that can fit must be less than 13cm

Explanation:

To get the longest pencil that fit the case, we will use the pythagoras theorem;

diameter = 10cm

radius = 10/2

radius = 5cm

Height = 12cm

Get the length of the longest side

l² = r²+h²

l² = 5²+12²

l² = 25 + 144

l² = 169

l = √169

l = 13cm

Hence the length of the longest pencil that can fit must be less than 13cm