Question

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

area, total surface area & volume.​

Answer 1

Answer:

CSA = 880cm^2

TSA = 2112cm^2

VOLUME = 6160cm^3

Step-by-step explanation:

hope you understand

Answer 2

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.