Q. 74.7( 15 Votes )

# The Sum of the ra

Answer :

Let the Radius of the solid cylinder be ‘r’ m and its height be ‘h’ m.

Given,

Sum of radius and height of solid cylinder = 37 m

r + h = 37 m

r = 37 – h

Total surface area of solid cylinder = 1628 m2

Total surface area of solid cylinder is given by 2πr (h + r)

2πr (h + r) =1628 m2

Substituting the value of r + h in the above equation

2πr × 37 = 1628 m2

r = 1628 × 7/22 × 1/2 × 1/37 m

r = 7 m

Since, r + h = 37 m

h = 37 – r m

h = 37 – 7 m = 30 m

Volume of solid cylinder = πr2h

= 22/7 × 72 × 30 m2

= 4620 m2

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