Question

the sum of the radius of the base and height of a solid cylinder is is 37 metre if total surface area of of cylinder is is 1628 metres square then what is the volume of the cylinder?

Answer 1

Answer:  Volume of cylinder is 4620 cm3.

Step-by-step explanation:

Let r and h be the radius and height of the solid cylinder respectively.

Given, r + h = 37 cm    

Total surface area of the cylinder = 1628 cm2    (Given)

∴ 2 πr (r + h) = 1628 cm2

⇒ 2 πr × 37 cm = 1628 cm2

⇒ r = 7 cm

r + h = 37 cm  

∴ 7 cm + h = 37 cm    

⇒ h = 37 cm – 7 cm = 30 cm

Volume of the cylinder = π r2h= 4620 cm3

Thus, the volume of cylinder is 4620 cm3.

Answer 2

4620 m2.

Step-by-step explanation:

r+h= 37m.

t.s.a of a cylinder is 1628 m2.

2×22/7×r(h+r)= 1628 m2.

2×22/7×r×37= 1628 m2.

r=7m.

r+h=37m.

7+h=37m.

h=30m.

vol.= 22/7r2h= 22/7×7×7×30= 4620 m3.

thanks you.