Question

The sum of the radius of the base and height of a solid right Circular cylinder is 37cm .if it's total surface area is 1628cm² find its volume.
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Answer 1

Answer:

Given r+h=37 cm

Total surface area of the solid cylinder = 2πr(r+h)=1628cm

2

∴r=

2×22×37

1628×7

=7cm

∴ Height = (37-7) cn = 30 cm

and Circumference = 2πr=

7

22

×7=44cm

Volume of the cylinder = πr

2

h=

7

22

×7×7×30=4620cm

3

Answer 2

R+H =37 --------(1)

TSA OF CYL. = 1628

2πr (h+r) = 1628

2 x 22/7 x r x37 = 1628

37r = 1628 x 7/22 x 1/2

37r = 37 x7

r = 37 x7/37

r = 7 cm

from 1

r+h = 37

7+h = 37

h = 37-7

h= 30 cm

vol of cyl = πr^2h

= 22/7 x 7 x 7 x 30

= 22 x 7 x 30

= 4620 cm cube.