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In this lesson, we will learn how to find the surface area of a cylinder given its volume and vice versa.

Q1:

A cylinder has a curved surface area of 656 cm^{2} and a diameter of 10.2 cm. Find its volume, giving your answer to the nearest cubic centimetre.

Q2:

A cylinder has a curved surface area of 126 cm^{2} and a diameter of 38.2 cm. Find its volume, giving your answer to the nearest cubic centimetre.

Q3:

A cylinder has a surface area of 2 5 6 π square inches and a height of 8 inches. Determine its volume in terms of π .

Q4:

A cylinder has a surface area of 2 0 8 π square inches and a height of 22 inches. Determine its volume in terms of π .

Q5:

Find the surface area of a circular cylinder whose volume is 1β256 cm^{3} and whose height is 16 cm. Use π = 3 . 1 4 .

Q6:

Find the surface area of a circular cylinder whose volume is 1β695.6 cm^{3} and whose height is 15 cm. Use π = 3 . 1 4 .

Q7:

A cylinder has a volume of 997 cm^{3} and a height of 2.2 cm. Find the curved surface area of this cylinder to the nearest square centimetre.

Q8:

A cylinder has a volume of 540 cm^{3} and a height of 8.4 cm. Find the curved surface area of this cylinder to the nearest square centimetre.

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