The length , breadth and height of a metallic parallelepiped is 16 cm , 1 1 cm and 10 cm respectively . It was melted and cast into discs . The diameter and thickness of each dics was 4 cm and 0.2 cm respectively . what was the number of discs fromed ?[π = 22/7 ] Complete the following activity and find the answer.
Answers
Answer:
700
Step-by-step explanation:
volume=16×11×10=1760cm^3
volume of each disc=22/7R^2H
=22/7×2×2×0.2
=17.6/7cm^3
no of discs can be formed=1760/17.6/7
=1760×7/17.6=7×100
=700
Answer:
since the solid was recast into the another solid so probably the amount of the matter which is melted and reconstructed into a new solid is not gonna change so the volume is going to be equal so we can easily substitute the values and put them on lhs and RHS of the equal to and get the answer
volume of paralellpipe = l × b × h
16 × 11 × 10 = 1760cm³
volume of disc = 1/3 × 22/7 × 4 × 4 × 2/10
(4=radius,0.2=>2/10, pie = 22/7)
volume of 1 disc = 352/105
if we divide volume of paralellpipe by volume of 1 disc we get the number of discs
=>1760 × 105 / 352
=>( 352 × 5 => 1760) so it simply gets cut and we get
=>2 × 105
=210
so the number of discs will be 210
hope this helped you mate =)