Find the area of base and radius of a cylinder if its curved surface area is 660 sqcm and hight is 21 cm
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h = 21 cm
CSA of cylinder = 660 sq. cm
=> 2πrh = 660
=> 2× 22/7 × r × 21 = 660
=> 132 r = 660
=> r = 660/132
=> r = 5cm
ar. of base = πr² = 22/7 × 5× 5 = 78.56 cm²
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Answer:
Given,
Curved surface area = 660 sq.cm, and height = 21 cm
Required to find: area of base and radius of a cylinder
We know that,
Curved surface area of cylinder = 2πrh
⇒ 660 = 2 x (22/7) x r x 21
660 = 2 x 22 x r x 3
6602 × 22 × 3 = r
6602 × 66 = r
r = 5 cm
Now,
Area of a base of the cylinder = πr²
= (22/7) x 5 x 5
= 5507
= 78.57 sq.cm
Thus, the radius of the cylinder is 5 cm and the area of its base is 78.57 sq.cm.
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