Question

A rectangular strip 25cm×7cm is rotated along The longer side find the volume and TSA of the solid thus generated. ​

Answer 1

Answer

$\: {v }\: {=} \: {3846.5}\: {cm}^3$

$\: {S}\: {=} \: {1406.732}\: {cm}^2$

Step-by-step explanation:

Given : A rectangular strip of size 25 cm × 7 cm is rotated about the longer side.

To find : The volume and the whole surface area of the solid?

Solution :

Rectangular strip has radius, r = 7 cm

Height, h = 25 cm

Volume of the solid,

${ v} \:{=}\:{3.14 }\: {×}\: {7}^2\: {×}\: {25}$

 

${ v} \:{=}\:{3.14 }{×}\:\: {49}\: {×}\:{25}$

 

${ v} \:{=}\:{3846.5}\: {cm}^3$

Total surface of the solid is

${ S} \:{=}\:{2}\:{×}\:{3.14 }\:{×}\: {(r + h)}$

${ S} \:{=}\:{2}\:{×}\:{3.14 }\: {×}\:{(7 + 25)}$

${ S} \:{=}\:{2}\:{×}\:{3.14 }\:{×}\: {32}$

${ S}\: {=} \: {1406.72}{cm}^2$

Answer 2

Answer:

 $V = 3846. 5{cm}^3$

 $S = 1406.72{cm}^2$

Step-by-step explanation:

Given : A rectangular strip of size 25 cm × 7 cm is rotated about the longer side.

To find : The volume and the whole surface area of the solid?

Solution :

Rectangular strip has radius, r = 7 cm

Height, h = 25 cm

Volume of the solid,

       

 $V = 3.14 \: {×} \: {7}^2 {×} \: {25}$  

 $V = 3.14 \: {×} \: {49} {×} \: {25}$

$V = 3846. 5{cm}^3$

 

Total surface of the solid is

 $S = 3.14 \: {×} \: {(7 + 25 )} {×} \: {7} \: {×} 2$

 $S = 3.14 \: {×} \: {(32)} {×} \: {7} \: {×} 2$

 $S = 1406.72{cm}^2$