The Radius of a cylinder is 14cm & the height is 10cm, find its curved – InterviewSolution

1.

The Radius of a cylinder is 14cm & the height is 10cm, find its curved surfacearea, total surface area & volume.

Answer»

Before, FINDING the answer. Let's find out we can find the answer.

In this question, we are asked to find the Curved Surface Area, TOTAL Surface and the Volume of Cylinder.
So first, let's find the Curved Surface Area. To find the Curved Surface Area, we must use the formula of :

$\boxed{ \tt Curved \: Surface \: Area = 2 \pi rh}$

Next, we must find the Total Surface Area. To find the Total Surface Area, we must use the formula of :

$\boxed{ \tt Total \: Surface \: Area = 2 \pi r(h+r)}$

At last, to find the Volume, we must use the formula of :

$\boxed{ \tt Volume \: of \: Cylinder = 2 \pi r^2h}$

_____________________________

Given :

RADIUS = 14 cm
Height = 10 cm

To find :

Curved Surface Area
Total Surface Area
Volume

Solution :

Curved Surface Area = 2πrh

${ \tt = 2 \times \dfrac{22}{7} \times 14 \times 10 }$

${ \tt = 2 \times \dfrac{22}{7} \times 140 }$

${ \tt = \dfrac{22}{7} \times 280 }$

${ \tt = \dfrac{6160}{7} }$

${ \tt = 880 }$

THEREFORE, the Curved Surface Area of Cylinder is 880 cm².

Total Surface Area = 2πr(h+r)

$= { \tt 2 \times \dfrac{22}{7} \times 14 \times ( 10 + 14 ) }$

${ \tt = { 2 \times \dfrac{22}{7} \times 14 \times ( 24 ) }$

${ \tt = { 2 \times \dfrac{22}{7} \times 336 }$

${ \tt = \dfrac{22}{7} \times 672 }$

${ \tt = \dfrac{14784}{7} }$

${\tt = 2112}$

Therefore, Total Surface Area of the Cylinder is 2112 cm².

Volume of Cylinder = 2πr²h

$= { \tt 2 \times \dfrac{22}{7} \times 14^2 \times 10 }$

$= { \tt 2 \times \dfrac{22}{7} \times 196 \times 10 }$

$= { \tt 2 \times \dfrac{22}{7} \times 1960 }$

$= { \tt \dfrac{22}{7} \times 3920 }$

$= { \tt \dfrac{86240}{7} }$

${ \tt = 12320}$

Therefore, the Volume of the Cylinder is 12320 cm³.

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