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# The Curved Surface Area of a Cylinder is 1320 Cm2 and Its Base Has Diameter 21 Cm. Find the Volume of the Cylinder. - Mathematics

Sum

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

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#### Solution

r cm = Radius of the cylinder
h cm = Height of the cylinder

Diameter of the cylinder is 21 cm. Thus, the radius is 10.5 cm.
Since the curved surface area has been known, we can calculate h by the equation given below:

The curved surface area of the cylinder = 2πrh
1320 cm2= 2πrh
1320 cm22 x 22 x (10.5 cm) x h
​                       7
h = 20 cm

∴ Volume of the cylinder (V) = πr2h
V = 22(10.5 cm)2(20 cm)
7
V = 6930 cm3

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 22 Mensuration - III (Surface Area and Volume of a Right Circular Cylinder)
Exercise 22.2 | Q 14 | Page 25
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