Question

the sum of the radius of the base and height of a solid cylinder is 37cm.find the circumference of its base and the volume of the cylinder, if the total surface area of solid cylinder is 1628 cm^2

Answer 1

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

Answer 2

Step-by-step explanation:

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