The curved surface area of a cylinder is 1320 cm2 and its base has dia

1.	The curved surface area of a cylinder is 1320 cm2 and its base has diameter 21 cm. Find the volume of the cylinder.
Answer» Given, Curved surface area = 1320 cm² Diameter of base = 21 cm Radius of base = \(\frac{diameter}{2}\) = \(\frac{21}{2}\) cm So, = 2πrh = 1320 = 2 x \(\frac{22}{7}\) x \(\frac{21}{2}\) x h = 1320 = h = \(\frac{1320\times 14}{2\times 22\times 21}\) = 20 cm ∴ Volume of cylinder = πr²h = \(\frac{22}{7}\)x \(\frac{21}{2}\) x \(\frac{21}{2}\)x 20 = 6930 cm³

The curved surface area of a cylinder is 1320 cm2 and its base has diameter 21 cm. Find the volume of the cylinder.

Answer»

Given,

Curved surface area = 1320 cm²

Diameter of base = 21 cm

Radius of base = \(\frac{diameter}{2}\) = \(\frac{21}{2}\) cm

So,

= 2πrh = 1320

= 2 x \(\frac{22}{7}\) x \(\frac{21}{2}\) x h = 1320

= h = \(\frac{1320\times 14}{2\times 22\times 21}\) = 20 cm

∴ Volume of cylinder = πr²h = \(\frac{22}{7}\)x \(\frac{21}{2}\) x \(\frac{21}{2}\)x 20 = 6930 cm³