Question

A 5 g wine cork has diameter 3 cm and a length of 5 cm. Its density is .

• A. $0.5684gc{m}^{-3}$
• B. $1.0562gc{m}^{-3}$
• C. $0.1415gc{m}^{-3}$

Answer 1

The correct option is C $0.1415gc{m}^{-3}$

Given: Mass of the cork, $m=5g$
Diameter of the cork, $d=3cm$
$⟹$ Its radius, $r=1.5cm$
Length of the cork, $l=5cm$
A wine cork is typically cylindrical in shape.
$⟹$ Volume of the cork, $V=\pi r^{2}l=\pi \times (1.5{)}^2\times 5$
$⟹V=35.343c{m}^3$
Density of the cork, $\rho =\frac{m}{V}$
$⟹\rho =\frac{5}{35.343}=0.1415gc{m}^{-3}$