Question

the radius and the height of a right circular cylinder are equal its total surgace area is 616sq.cm . Find a. radius. b. area of its base c. area of the curved surface​

Answer 1

Radius = 14 cm, Area of its base = 44 cm², Area of curved surface = 88 cm².

Explanation:

Given: Radius and height of a right circular cylinder are equal to total surface area = 616 cm²

Radius = ?

Area of its base = ?

Area of curved surface = ?

Formula: Area of right circular cylinder = πr²

Surface area of cylinder = πr²

616 = πr²

$r^{2}=\frac{616\times 7}{22}$

r² = 28 x 7

r² = 196

r = 14 cm

Area of base = πr² = $\frac{22}{7}\times 14$

= 44 cm²

Area of right circular cylinder = πr²h ⇒$\frac{22}{7}\times 14^{2}\times h = 616$, h = 1

Area of curved surface of the cylinder = 2πrh

= 2 x π x 14 x 1

= 88 cm².

To know more:

the area of the base of a right circular cylinder is 616 cm^2 and its ...

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