CBSE Class 10CBSE
Share
Notifications

View all notifications

How Many Coins 1.75cm in Diameter and 2mm Thick Must Be Melted to Form a Cuboid 11cm X 10cm X 75cm___? - CBSE Class 10 - Mathematics

Login
Create free account


      Forgot password?

Question

How many coins 1.75cm  in diameter and 2mm thick must be melted to form a cuboid 11cm x 10cm x 75cm___?

Solution

Given that dimensions of a cuboid 11cm x 10cm x 75cm

So its volume (V1) = 11cm x 10cm x 7cm

= 11 x 10 x 7cm3         ..........(1)

Given diameter (d) = 1.75cm

Radius (r)`=d/2=1.75/2=0.875cm`

Thickness (h) =2mm = 0.2cm

Volume of acylinder =`pir^2h`

`V_2=pi(0.875)^2(0.2)cm^3`   ........(2)

V1 = V2 x n

Since volume of a cuboid is equal to sum of n volume of ‘n’ coins

`n =V_1/V_2`

n = no of coins

`n=(11xx10xx7)/(n(0.875)^2(0.2))_`

n = 1600

∴No of coins (n) = 1600

  Is there an error in this question or solution?

APPEARS IN

 RD Sharma Solution for 10 Mathematics (2018 to Current)
Chapter 14: Surface Areas and Volumes
Ex. 14.10 | Q: 19 | Page no. 28
Solution How Many Coins 1.75cm in Diameter and 2mm Thick Must Be Melted to Form a Cuboid 11cm X 10cm X 75cm___? Concept: Volume of a Combination of Solids.
S
View in app×