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# Solution - A Copper Rod of Diameter 1cm and Length 8cm is Drawn into a Wire of Length 18m of Uniform Thickness. Find Thickness of Wire? - CBSE Class 10 - Mathematics

#### Question

A copper rod of diameter 1cm and length 8cm is drawn into a wire of length 18m of uniform thickness. Find thickness of wire?

#### Solution

Given diameter of copper rod(d1) = 1cm

Radius(r_1)=1/2=0.5cm

Length of copper rod (h1) = 8cm

Volume of cylinder=pir_1^2h_1

V_1=pi(0.5)^2xx8cm^3    ........(1)

V_2=pir_2^2h_2

Length of wire(h2) = 18m = 1800cm

V_2=pir_2^2(1800)cm^3   ........(2)

Equating (1) and (2)

V1 = V2

pi(0.5)^2xx8=pir_2^2(1800)

(pi(0.5)^2xx8)/(pi(1800))=r_2^2

r2 = 0.033cm

∴Radius thickness of wire = 0.033cm .

Is there an error in this question or solution?

#### APPEARS IN

R.D. Sharma 10 Mathematics (with solutions)
Chapter 16: Surface Areas and Volumes
Q: 35

#### Reference Material

Solution for question: A Copper Rod of Diameter 1cm and Length 8cm is Drawn into a Wire of Length 18m of Uniform Thickness. Find Thickness of Wire? concept: Volume of a Combination of Solids. For the course CBSE
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