Question

The height and radiusof base of a cylinder are in the ratio 3:1. If its volume is 1029 cm cube, find its total surface area? ​

Answer 1

Step-by-step explanation:

1232 cm^2

● Explaination -

# Given -

h:r = 3:1

# Solution -

Let x be a common multiple such that -

h = 3x

r = x

Volume of the cylinder is given by -

V = πr^2.h

1029π = π × x^2 × 3x

x^3 = 1029π / 3π

x^3 = 343

x = 7

Total surface area of cylinder is -

TSA = 2πr (r+h)

TSA = 2π × x (x+3x)

TSA = 2π × 4 x^2

TSA = 8 × 3.142 × 7^2

TSA = 1232 cm^2

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