A solid, metallic, right circular cylindrical block of radius 7 cm and height 8 cm is melted and
small cubes of edge 2 cm are made from it. How many such cubes can be made from the block?
can any one answer it plz if you answer I will give you 5 coins
Answers
154 cubes can be made from the block.
Correct Question:
A solid, metallic, right circular cylindrical block of radius 7 cm and height 8 cm is melted and small cubes of edge 2 cm are made from it. How many such cubes can be made from the block?
Solution:
For the right circular cylinder, we have radius (r) = 7 cm, height (h) = 8 cm.
Therefore, its volume = πr²h
= 22/7x7²x8cm³
= 1232 cm3
The volume of a cube = edge³
= 2³cm³
= 8 cm³
Therefore, the number of cubes that can be made = volume of the cylinder/volume of a cube
= 1232/8
= 154
Therefore, 154 cubes can be made from the block.
Step-by-step explanation:
For the right circular cylinder, we have radius (r) = 7 cm, height (h) = 8 cm.
Therefore, its volume = πr2h
=
22
7
× 72 × 8 cm3
= 1232 cm3
The volume of a cube = (edge)3
= 23 cm3
= 8 cm3
Therefore, the number of cubes that can be made = volume of the cylinder/volume of a cube
=
1232cm3
8cm3
= 154
Therefore, 154 cubes can be made from the block