Question

The radius and height of cylinder are in ratio 7:2 . If the volume of cylinder is 6062364cm³. find the total surface area of cylinder? ​

Answer 1

Step-by-step explanation:

let the radius and height be 7x and 2x respectively

Volume = πr^2h

= 22/7 × 7x ×7x × 2x = 6062364

= 308 x^3 = 6062364

= x^3 = 6062364/ 308

$x = \sqrt[3]{19,683} = 27$

radius = 7×27=189cm

height= 2×27= 54cm

TSA= 2πr(r+h)

=2×22/7 × 189 × 189 + 54

=2×22/7 × 189 ×243

= 288684 cm^2

Huhh! hope it will help