Question

A metallic prism of height 35 cm has a base as a right angled triangle. The triangle has a base length of 24cm and altitiude 10cm. It is melted and drawn into a cylindrical wire of radius 0.35 cm. What will be the length of wire drawn in metres?

• A. 139.1 m
• B. 209.1 m
• C. 109.099 m
• D. 91.11 m

Answer 1

The correct option is C

109.099 m

Given: Height of prism (H) = 35 cm

Base Area of prism (A) $=\frac{1}{2}\times 24\times 10=120c{m}^2$

Volume of the prism $=A\times h$

V $=(120\times 35$) $c{m}^3$

It is melted and converted to wire

Hence Volume of the prism = Volume of the wire

Volume of the wire $=\pi r^{2}h$

$120\times 35=\frac{22}{7}\times 0.35\times 0.35\times h$

$h=\frac{120\times 35\times 7}{22\times 0.35\times 0.35}=10909.9cm=109.099m$