9. Cylindrical cans of cricket balls are to be packed in
a box. The radius and height of each can is 8 cm
and 32 cm respectively. The length, breadth and height
of the box are respectively 68 cm 52 cm 50 cm.
What is the maximum number of cans that can fit in
the box?
Answers
Answer:
27 cans
Step-by-step explanation:
Given --->
----------
Radius of can = 8 cm
Height of can = 32 cm
Length of box= 68 cm
Breadth of box = 52 cm
Height of box = 50 cm
And cylindrical cans of cricket balls are
placed in box.
To find ---> Maximum number of cans
------------ that can be fitted in box.
Solution---->
---------------
Volume of one cylinderical can
= π r² h
22
= -------- × ( 8 )² × 32
7
22 × 64 × 32
= ----------------------- cm³
7
Volume of cuboidal box
= length × breadth × height
= 68 × 52 × 50 cm³
Number of maximum cans that can be
fitted in box
Volume of cuboidal box
= ----------------------------------------
Volume of one can
68 × 52 ×50
= ---------------------------
22 × 64 × 32 / 7
68 × 52 × 50 × 7
= ---------------------------
22 × 64 × 32
34× 13 × 25 × 7
= ---------------------------
11 × 16 × 16
77350
= --------------
2816
= 27.46≈ 27
It means 27 cylindrical cans can be fitted in cuboidal box
Answer:
Step-by-step explanation: