Name: SI Prefixes: An Overview
Uploaded: 2019-07-19
Duration: 3 min 19 s
Description: Let's focus on SI prefixes and simple unit conversions in this video. Also, let's learn more details on the range of magnitudes of units based on SI prefixes.

Question

A cylinder has a length of $1.0 \times 10^{- 1} m$ and diameter of $2.40 \times 10^{- 3}$ $m$ . Find the cross-sectional area and volume of the cylinder with due consideration of significant figures.

Accepted Answer

The cross-sectional area of a cylinder is given by the formulae

Area $= \frac{π \times (Diameter)^{2}}{4}$

Here, the value of $π$ and diameter of the circle are $3.1416$ and $2.40 \times 10^{- 3} m$ respectively.

So, the cross-sectional area will be $A = \frac{3.1416 \times 2.40 \times 10^{- 3} \times 2.40 \times 10^{- 3}}{4} = 4.523904 \times 10^{- 6} m^{2}$

Rounding off the result to three significant figures we get circumference $A = 4.52 \times 10^{- 6} m^{2}$

The volume of a cylinder is given by the formulae

Volume $= π \times (radius)^{2} \times length = \frac{π \times (diameter)^{2} \times length}{4}$

Here, the value of $π$ , diameter and length of the cylinder are $3.1416$ , $2.40 \times 10^{- 3} m$ and $1.0 \times 10^{- 1} m$ respectively.

So, the volume of the cylinder will be $V = \frac{3.1416 \times (2.40 \times 10^{- 3})^{2} \times 1.0 \times 10^{- 1}}{4} = 4.523904 \times 10^{- 7} m^{2}$

Rounding off the result to two significant figures we get circumference $A = 4.5 \times 10^{- 7} m^{2}$

A cylinder has a length of $1.0 \times 10^{- 1} m$ and diameter of $2.40 \times 10^{- 3}$ $m$ . Find the cross-sectional area and volume of the cylinder with due consideration of significant figures.

Important Questions on Significant Figures

Learn and Prepare for any exam you want !

A cylinder has a length of 1.0×10-1 m and diameter of 2.40×10-3m. Find the cross-sectional area and volume of the cylinder with due consideration of significant figures.

Important Questions on Significant Figures

Learn and Prepare for any exam you want !

A cylinder has a length of $1.0 \times 10^{- 1} m$ and diameter of $2.40 \times 10^{- 3}$ $m$ . Find the cross-sectional area and volume of the cylinder with due consideration of significant figures.