The curved surface area and the volume of a toy, cylindrical in shape, are 132 cm 2 and 462 cm 3 respectively. Find its diameter and its length.

Given: Curved surface area of cylindrical toy = 132 cm 2 Volume of cylindrical toy = 462 cm 3 As we know that curved surface area cylinder = 2πrh ⇒ 2πrh = 132 ⇒ πrh = ⇒ πrh = 66 ...............(1) And, volume of cylinder = πr 2 h ⇒ πr 2 h = 462 ⇒ πrh x r = 462 Putting the value of 'πrh' from equation (1), we get ⇒ 66 x r = 462 ⇒ r = ⇒ r = 7 cm Diameter = 2 x r = 2 x 7 cm = 14 cm Putting the value of r in equation (1), Hence, the diameter of cylinder is 14 cm and the length is 3 cm.

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Mathematics

The curved surface area and the volume of a toy, cylindrical in shape, are 132 cm² and 462 cm³ respectively. Find its diameter and its length.

Surface Area, Volume, Capacity

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Mathematics

The curved surface area and the volume of a toy, cylindrical in shape, are 132 cm² and 462 cm³ respectively. Find its diameter and its length.

Surface Area, Volume, Capacity

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Mathematics

The curved surface area and the volume of a toy, cylindrical in shape, are 132 cm2 and 462 cm3 respectively. Find its diameter and its length.

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