Question

find the height of cylinder whose raddiu is 10 cm and the total surface area is 2420cm

Answer 1

Heya ☺

Given that

Total Surface Area = 2,240 cm^2

Radius = 10 cm

Solution

Solution

T.S.A of a cylinder = 2πr (r + h)

=> 2,240 = 2 × 22/7 × 10 (10 + h)

=> 2,240 = 440/7 (10 + h)

=> 2,240 × 7/440 = (10 + h)

=> 392/11 = (10 + h)

=> 392 = 11 (10 + h)

=> 392 = 110 + 11h

=> 392 - 110 = 11h

=> 282 = 11h

=> h = 282/11

=> h = 25.63 cm

Hence , the height of the cylinder is 25.63 cm.


Thanks