The sum of the radius of base and height of a solid right circular cylinder is 37 cm. If the total surface area of the solid cylinder is 1628 sq. cm, find the volume of the cylinder. `("use " pi=22/7)`
Let the radius of base and height of the solid right circular cylinder be r cm and h cm, respectively.
According to the question,
Total surface area=1628 sq cm
From (1) and (2), we get
⇒ r = 7 cm
Substituting the value of r in (1), we get
⇒ h = 30 cm
Volume of the cylinder = πr2h
Hence, the volume of the cylinder is 4,620 cm3.